Name_________________________________________________________ Date __________

Chapter
9 Test B
Find the value of x. Then tell whether the side lengths form a Pythagorean triple. Answers
1. 2. 9 3. 1.
26 17
10 x

x 40 x
25 2.

4. You fly 470 miles due west from Chicago, Illinois, to Omaha, Nebraska. You
3.
then fly 437 miles to St. Louis, Missouri. Finally, you fly 300 miles back to
Chicago. Is the triangle formed by your trip acute, right, or obtuse? Explain
your reasoning.
4.
Find the value of x. Write your answer in simplest form.
5. 6. 7.
30°
x x x
10 16
60°
5.
10 4 3
6.

8. Your friend went on a trip to 7.

Kennywood Park. While there,
8.
he examined the inclined section
of the roller-coaster track for the 100 ft
9.
Phantom’s Revenge. He noticed
the ramp section rose at a 45°
45° angle with the horizontal x 10.
section, and connected at the top
of the hill with a segment 100 feet
long. These pieces formed a right
11.
angle at the top of the hill. Find x,
the length from the point of inclination
to the bottom of the hill.

Find the values of x and y. Write your answer in simplest form.

9. 10. 11. 32 x
y
y 6
6 y
x 2 40 30
x 9

Copyright © Big Ideas Learning, LLC Geometry 123

All rights reserved. Assessment Book
Name _________________________________________________________ Date _________

Chapter
9 Test B (continued)
Find tan A and tan B. Write each answer as a fraction and as a decimal Answers
rounded to the nearest tenth. B
12.
12. tan A 13. tan B
12
Find the measure of each angle to
the nearest degree. 13.
A C
14. m∠A 15. m∠B 20

16. You look up at a 55° angle to see the top of a building. The vertical distance 14.
from the ground to your eye is 5.5 feet and the distance from you to the
15.
building is 57 feet. Estimate the height of the building.
16.
17. A bird sits on top of a lamppost. The angle made by the lamppost and a line
from the feet of the bird to the feet of an observer standing away from the 17.
lamppost is 55°. The distance from the lamppost to the observer is 25 feet.
Estimate the height of the lamppost? 18.

Use the figure. Write your answer as a fraction and as a decimal rounded to
the nearest hundredth. A 19.
18. sin A 19. cos A
37
35
20. sin B 21. cos B
20.
C B
12

21.
Find the values of x and y. Round your answer to the nearest tenth.

22. x 23. 24.

22.
y y
y x 20
17
59°
40° 23.
51°
10 x

24.

124 Geometry Copyright © Big Ideas Learning, LLC

Assessment Book All rights reserved.