Geometry
Homework Lesson 8.5
Name _________________________________
Describe each angle as it relates to the diagram.
1.
<1
<2
<3
<4
Find the length of x. Round the lengths to the nearest tenth.
2.
3.
4.
5.
7.
6.
8. A person standing 30 ft from a flagpole can see the top of the pole at a 35 o angle of elevation.
a. Draw a diagram.
b. The person’s eye level is 5 ft from the ground. Find the height
of the flagpole to the nearest foot.
9. You sight a rock climber on a cliff at an 32 o angle of elevation. The horizontal ground distance to the cliff is 1000 ft. Find the
line-of-sight distance to the rock climber.
10. An airplane pilot sights a life raft at a 26o angle of depression. The airplane’s height is 3 km. What is the airplane’s surface
distance from the raft?
11. Geneva is flying a kite. She let out 105 ft of string and anchors it to the ground. She determines that the angle of elevation
of the kite is 48o. Find the height the kid is from the ground.
12. You stand 40 ft from a tree. The angle of elevation from you to the top of the tree is 47 o. How tall is the tree?
13. A library wishes to build an access ramp for wheelchairs. The main entrance of the library is 8 ft above the sidewalk level.
If the architect recommends a grade (angle of elevation) of 6 o, how long must the access ramp be?
14. A blimp is providing aerial television views of a football game. The television camera sights the stadium at a 7 o angle of
depression. The blimp’s altitude is 400m. What is the line of sight distance from the TV camera to the stadium, to the nearest
tenth.
15. Solve for x.
Review
Find the value of x. If our answer is not a whole number, leave it in radical form.
16.
17.
Using your special triangle rules, find the missing side lengths. If necessary, give answers in radical form.
18. x = _________ y = _________
19. x = ________ y = _________
20. x = _________ y = _________