For the following exercises, find the most suitable system of coordinates to describe the solids. 418. San Francisco is located at 37 .78°N and 122 .42°W . Assume the radius of Earth is 4000 mi . Express the location of San Francisco in spherical coordinates.
For the following exercises, find the most suitable system of coordinates to describe the solids. 418. San Francisco is located at 37 .78°N and 122 .42°W . Assume the radius of Earth is 4000 mi . Express the location of San Francisco in spherical coordinates.
For the following exercises, find the most suitable system of coordinates to describe the solids.
418. San Francisco is located at
37
.78°N
and
122
.42°W
. Assume the radius of Earth is
4000
mi
.
Express the location of San Francisco in spherical coordinates.
The device is a parabolic dish with a sound booster at its focus. The device is 6ft across and 20
inches deep. Determine the distance from the sound booster to its vertex.
a. 81/5 inches
b. 64/9 inches
c. 90/7 inches
d. 55/10 inches
Q1. Draw a 2-Dimensional and 3D/Isometric view of Hexagon given base 5 cm and Height
12 cm, with an angle inclined at 30° when the Hexagon is resting on its Apex.
A pipeline is to be fitted under a road within the perimeter of the theme park and can be represented on 3D Cartesian axes as below, with the x-axis pointing East, the y-axis North, and the z-axis vertical. The pipeline is to consist of a straight section AB directly under the road, and another straight section BC connected to the first. All lengths are in metres.
Refer to the attached image and provide the following:
1- Calculate the distance AB
The section BC is to be drilled in the direction of the vector 3i+4j+k
2-Find the angle between the sections AB and BC.
The section of pipe reaches ground level at the point (a,b,0).
3-Write down a vector equation of the line BC. Hence find a and b.