Algebra 1.5 Lessons 3-9, 11-5, 11-6 Name
Review Worksheet
Problems 1-4: Find the value of each variable. If the answer if not a whole number, leave the answer in
simplest radical form.
1. 2.
3. 4.
5. A ladder is 25 ft long. The ladder needs to reach to a window that is 24 ft above the ground. How
far away from the building should the bottom of the ladder be placed?
6. A wire is run between the tips of two poles. One pole is 23 ft taller than the other pole. The poles are
37 ft apart. To the nearest tenth, how long does the wire need to be to reach between the two poles?
Problems 7-10: Use ABC. Find the value of each expression.
7. sin A 8. cos A
9. tan B 10. cos B
Problems 11-14: Find the value of x to the nearest tenth.
11. 12.
13. 14.
Problems 15-20: Round answers to the nearest tenth.
15. A tree casts a shadow that is 20 ft long. The angle of elevation of the sun is 29°. How tall is the tree?
16. Suppose your angle of elevation to the top of a water tower is 78°. If the water tower is 145 ft tall,
how far are you standing from the water tower?
17. Suppose you are flying a kite on a 50 meter string. The angle of elevation from your hand to the
kite is . Your hand is 1 meter about the ground. How high above the ground is the kite?
18. Two buildings stand 90 ft apart at their closest points. At those points the angle of depression
from the taller building to the shorter building is 12°. How much taller is the taller building?
19. A library wishes to build an access ramp for wheelchairs. The main entrance of the library is 8 ft
above sidewalk level. If the architect recommends a grade (angle of elevation) of 6°, how long
must the access ramp be?
20. A 12-ft wire is attached to a telephone pole 10 ft from the top of the pole. If the wire forms a 52o angle
with the ground, how high is the telephone pole?
Answers:
1.
2. ft
3. in
4.
5. 7 ft
6. 43.6 ft
7.
8.
9.
10.
11. 10.1
12. 12.7
13. 25.4
14. 12.5
15. 11.1 ft
16. 30.8 ft
17. 36.4 m
18. 19.1 ft
19. 76.5 ft
20. 19.5 ft