A triangle has a length of 38 cm and 42 cm on its two sides, and the angles opposite to these sides measure 44° and 50°. What is the length of the third side?

Q: A 20-ft ladder leans against a building so that the angle between the ground and the ladder is…

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Q: The height of a right triangle with base angle 45 and base 8 is

A: Base angle = 45° Base = 8 units  Height= ?

Q: In a right triangle, the side opposite angle phi has a length of 29.0 meters, the side adjacent to…

A: cot(phi) = base/perpendicular

Q: - How far from the wall of a building is the base of a 33 ft. ladder which makes an angle of 70"…

A: Here, hypotenuse = 33ft  Angle = 70°  We have to find the base .

Q: Suppose a 15-foot ladder leans against the side of a house so that the angle of elevation of the…

A: The objective is to find the distance of the base of the ladder from the side of the house.

Q: 4) The angle of elevation from a boat to the top of a 48-meter lighthouse is 25°. How far is the…

A: According to our terms and conditions I have solved first question for next question repost

Q: A 5-meter-long ladder, learning against a vertical wall makes an angle of 65 degree ground. How…

A: Given, Ladder length=5 meters leaning against a vertical wall makes an angle of 65 degrees on the…

Q: Suppose a 15-foot ladder leans against the side of a house so that the angle of elevation of the…

A: Given, Length of the ladder = 15 foot   Angle of elevation of the ladder = 38°   We have to find the…

Q: 1. To determine the height of a tree, a person stands 40 feet from the tree and finds that the angle…

A: As per the guidelines .i can solve only first question

Q: what is the angle of elevation of the ladder?  how high does the ladder reach the building ?

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Q: 3) 3

A: we will find the missing Angle

Q: Ashley decides to build an accessibility ramp to help students reach the top of a set of stairs. If…

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Q: If a loading ramp is placed next to a truck, at a height of 4 feet, and the ramp is 18 feet, what…

A: Given Truck height =4 feet Ramp length=18 feet

Q: From the top of a 200-ft. lighthouse, the angle of depression to a ship in the ocean is 23° . How…

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Q: What would the values of A and h be based on the given triangle?

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Q: A ladder that is 20ft long is leaning against the side of a building. If the angle formed between…

A: A ladder that is 20 ft. long is leaning against the side of a building and the angle formed between…

Q: The length of the sides of a triangle are AB = 20cm, BC = 24cm, and AC = 17cm. What is the angle…

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Q: From the top of a 158-ft lighthouse, the angle of depression to a ship in the ocean is 15°. How far…

A: Given that, From the top of a 158-ft lighthouse, the angle of depression to a ship in the ocean is…

Q: Therefore, the coordinate of the point where the eminal side of the 30 angle intersects the unt cide…

A: Find the coordinate of the point where the terminal side of the 45 angle intersects the unit circle.

Q: 4. A 54 -ft ladder leans against a building so that the angle between the ground and the ladder is…

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Q: 19. How far from the wall of a building is the base of a 30 ft. ladder which makes an angle of 75°…

A: Given that length of the ladder is 30 ft. which makes an angle of 75° with the ground. We have to…

Q: 1) Charlie is standing 250 feet from the base of a tall building. If he determines that the angle of…

A: Since you have asked multiple questions in a single request we would be answering only the first…

Q: 1. How long is the ladder which makes an angle of 300 with the side of the house and whose foot is…

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Q: The height of a right triangle with base angle 45° and base 12 is

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Q: A 40 ft. guy wire is connected to a telephone pole, forming a 21° angle with the pole. How far from…

A: Consider this right angled triangle as ABC then to calculate how far from the pole is the guy wire…

Q: 3. The angle of elevation of the sun is 27°. IF a tree Is 12 yd. tall, how long will its shadow be?

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Q: A 20-ft ladder is leaning against a building. If the base of the ladder is 6 ft. from the base of…

A:

Q: Given the lengths of the three sides of a triangle (SSS), why is the law of cosines used to find the…

A: The cosine rule of triangle are: cosA=b2+c2-a22bccosB=a2+c2-b22accosC=a2+b2-c22ab If the length of…

Q: A ship sails 110 miles from Island A toward Island B, but then turns through an angle of 120 and…

A: let a,b and c are side opposite to angle A ,B and C respectively.

Q: The height of a right triangle with base angle 45° and base 14 is

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Q: A 10-foot rope connects the top of a tent pole to the ground. Ifthe rope makes an angle of 458 with…

A: Given:  Rope that connects the top of tent pole and ground= 10 foot…

Q: The recommended safety angle of a ladder against a building is 78 degree. If a 10meter ladder will…

A: Let the safety height of ladder reach to building is x safety angle of ladder is 78° length of…

Q: To measure the height of a flagpole, Jan Marie found that the angle of elevation from a point 24.7…

A: To find the height of the flagpole.

Q: The Seattle Space Needle casts a 67-meter shadow. If the angle of elevation from the tip of the…

A: Seattle space needle shadow casts on the ground and it's length = 67 m. Angle of elevation from the…

Q: In a right triangle, The side opposite angle O has a length of 29.0 meters, the side adjacent to…

A: Use formula of trigonometric ratio cot

Q: Given a right triangle ABC where angle C = 90° and tan B = 유. How long is side c?

A: Given right angled ABC angled at C as shown in figure below And tan (B)=3.6/4.8 Now we have to find…

Q: If you have a 16-ft extension ladder, and you place it against a wall so that it has a 35-degree…

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Q: When the angle of elevation to the sun is 37°, a flagpole casts a shadow that is 24.2 ft long. What…

A: Given, Angle of elevation to the sun is 37° Flagpole casts a shadow that is 24.2 ft long

Q: An isosceles triangle has two congruent sides of length 14 inches. The remaining side has a length…

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Q: A tower is supported by two guy wires, 162 ft and 181 ft long. Each wire is attached to the top of…

A: using sinθ , cosθ , tanθ

Q: in a building, a person determines that the angle of elevation to the top of the monument is 15° and…

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Q: A house is 500 feet high. At a certain distance away from the house, an observer determines that the…

A: Given that, A house is 500 feet high. At a certain distance away from the house, an observer…

Q: The roof is 32.0 ft wide. If the rafters are 18.0 ft long, at what angle will the rafters be laid at…

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Q: The three sides of a triangle measure 15 cm, 17 cm, and 18 cm. Find the measure of the largest…

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Q: Two guy wires from the top of a 35-ft tent pole are anchored to the ground below by two stakes so…

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Q: What is the approximate degree measure of an angle of 4.59 rad?

A: Given problem is : What is the approximate degree measure of an angle of 4.59 rad?

Q: 13. Suppose a 15-foot ladder leans against the side of a house so that the angle of elevation of the…

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Q: 16. The minute hand of a clock has length 15 cm. How long will it sweep out an angle of 105°? How…

A: The minutes hand of a clock has length 15 cm The given angle is 105 degree We know that in a clock…

Q: From one bank of the Abra river the angle of elevation of the top of a cliff on the opposite bank is…

A:

Ratios

A ratio is a comparison between two numbers of the same kind. It represents how many times one number contains another. It also represents how small or large one number is compared to the other.

Trigonometric Ratios

Trigonometric ratios give values of trigonometric functions. It always deals with triangles that have one angle measuring 90 degrees. These triangles are right-angled. We take the ratio of sides of these triangles.