A playing card is 3.5" tall and 2.5" wide. Two cards in portrait are made to lean against one another to form a house of cards. If the angle formed between the two cards is 24°, how far apart are the base of the cards?

A playing card is 3.5" tall and 2.5" wide. Two cards in portrait are made to lean against one another to form a house of cards. If the angle formed between the two cards is 24°, how far apart are the base of the cards?

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter3: Additional Topics In Trigonometry

Section3.1: Law Of Sines

Problem 6ECP: Find the area of a triangular lot with two sides of lengths 24 yards and 18 yards and an included...

See similar textbooks

Related questions

Q: Find the sum of the measures of the interior angles of the given figure.

A: We draw these lines in the given polygon.

Q: The minute hand of a clock, has length 15cm. How long out an angle of 105°? How far does it travel…

A: Use the property of circle and clock

Q: 25 B.

A: we have to find the side and unknown angles

Q: Find the measure of the indicated angle to the nearest degree. 41 34 O 40° O 34° O 56° O 50°

A: To find the angle A Since, SinA = 34/41 So, sinA = 0.83 A = 56

Q: For a triangle with sides a, b, c and opposite angles A, B, C,the Law of Sines states that_______

A: For a triangle with sides a,b,c and opposite angles A,B,C the law of sines states that: The ratio…

Q: Prove the Law of Cosines: If a triangle has sides with lengths a, b , and c, and is the angle…

A: Yhh

Q: 11. Find the cosine of the measure of the angle between A and B.

Q: Find the measure of the indicated angle to the nearest degree. 21 34 O 24° O 52° O 32° O 38°

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: A triangle has an opposite side of 5, a hypotenuse side of 13, and an angle of Ɵ. What is the…

Q: The angle formed by moving one-eighth of the way around a circle has a measure of how many degrees?

A: The rotation is one-eighth of the way around a circle.

Q: Given ZABC (as shown), provide a second correct method for naming this angle. . A C

A: According to given figure ∠ABC can also be written as ∠CBA

Q: Use the cosine law to determine the measure of angle A, to the nearest degree, given that a = 12.8…

A: R

Q: from the top of a 300-ft light house, the angle of depression to a ship in the ocean is 27degrees.…

A: Given the angle of depression to a ship in the ocean is 27degrees. Height of the light house=300ft A…

Q: Two tugboats that are a = 110 ft apart pull a barge, as shown. If the length of one cable is b = 202…

A: Given that We have to evaluate the angle formed by two cables

Q: Use the Law of Cosines to determine the indicated angle ?. (Assume a = 135.5, b = 60.7, and c = 156.…

A: From the given data

Q: Two tugboats that are a = 130 ft apart pull a barge, as shown. If the length of one cable is b = 202…

Q: If a person standing at the top of the building of height 50 ft is looking at her daughter standing…

Q: Find the value of the angle 0 in degrees rounded to the nearest tenth of a degree. 12

Q: 2. Find the measure of each interior angle. Round to the nearest hundredth.

A: sum of interior angle of quadrilateral : 360

Q: The angle formed by the 4 ladder and the wall is: C A E

Q: State the auadant in which the angles líe. a 420°

Q: Find the measurement of the angle indicated for each trapezoid. 72°

Q: Give the side lengths for the opposite, hypotenuse, and adjacent sides for the triangle below using…

Q: Find the measure of the indicated angle to the nearest degree. 13 9. O 35° O 46° O 71° O 44°

Q: Find the measure of the indicated angle to the nearest degree. 6. O 27° 63° O 30° O 60°

Q: Find the measure of the indicated angle to the nearest degree. For number 12 and 13

A: We have the given triangle as 12) AND 13)

Q: The angle of depression from the top of a lighthouse to a ship is 40 degrees. If the lighthouse is…

Q: If a = 36 cm, b = 10 cm, and c = 28 cm, find the largest angle. (Round your answer to the nearest…

A: If a = 36 cm, b = 10 cm, and c = 28 cm, find the largest angle. (Round your answer to the nearest…

Q: To the nearest degree, find the measure of angle A. 20 in A 18 in O 26° O 42° O-48° O 64°

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: Determine the length of side length a to the nearest tenth of a kilometer, given that angle B is 62°…

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

A: A minute hand of a clock has a length of 15cm. The area it will sweep at an angle of 105° , is…

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: To the nearest degree, find the measure of angle A. 20 in 18 in

A: Given a right angle triangle with sides 18 in and 20 in.

Q: Find the measure of the unknown angle in degrees.

A: Given,

Q: Find the area of a se tor of a circle with the radius 6 cm.if the angle of the section is 60o

Q: 63 B. C. 15

A: Explanation of the answer is as follows

Q: What is the measure of each angle of a regular decagon? If necessary, round to the nearest tenth.

Q: A 12 meter ladder is inclined against a brick wall at an angle of 15°. If the top of the ladder…

A: To find the height of wall at which ladder reaches. We will use trigonometric ratio We know that…

Q: Find the measure of the indicated angle to the nearest degree. 21 21 22 O 73° O 44° O 14° O 17°

Q: Find the missing angles in the diagram below. Round to the nearest whole degree. 18 in. 20 in.

A: We use Trigonometry ratios to find missing angle

Q: meausre of the central angle in degrees if the radius is 12cm and the length of the intercepted arc…

A: s=rθ s is the length of intercepted arc r is the radius θ is the central angle in radians

Q: Find the measure of angle KML in degrees. Round to the nearest tenth if necessary. 145° K

A: Given: To find: m∠KML

Q: Find the measure of the indicated angle to the nearest degree. 14 8 O 55° O 60° O 35° O 30°

Q: If a = 10 yd, b = 11 yd, and c = 12 yd, find the largest angle. (Round your answer to the nearest…

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

Q: Construct a triangle with a side length 15cm,a side length 5cm ,and an angle of 44 degrees

Q: Use a form of the Law of Cosines to find the measure of the indicated angle to the nearest degree. M…

A: Given MN=p=6 PM=n=3 NP=m=4 MQ Bisects ∠PMN To Find α According to law of cosines: The Law of…

Q: 8 ft 2 ft 6.5 ft D. 1 ft CH

Question

Figure in plane geometry formed by two rays or lines that share a common endpoint, called the vertex. The angle is measured in degrees using a protractor. The different types of angles are acute, obtuse, right, straight, and reflex.

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Similar questions

A 2.10-ft side, a 3.05-ft side, a 2930' angle opposite the 3.05-ft side.
Find the area of a triangular lot with two sides of lengths 24 yards and 18 yards and an included angle of 80.
If the angle of elevation to the sun is 74.3 when a flagpole casts a shadow of 22.5 feet, what is the height of the flagpole? a. 63.2 feet b. 79.5 feet c. 83.1 feet d. 80.0 feet
Is it possible to draw a triangle whose angles measure a. 100, 100, and 60? b. 45, 45, and 90?
Draw a triangle and, by construction, find its incenter.