Geometry
Name _______________________________
Right Triangles – Trig and Pythagorean Theorem
Date ___________________ Period _______
Give lengths to the nearest tenth of a unit and angle measures to the nearest degree.
1.
Your class is having a class picture taken on the lawn. The photographer is positioned 14 feet away from the
center of the class. If she looks toward either end of the class, she turns 50⁰.
What is the distance between the ends of the class?
2. You're locked out of your house and the only open window is on the second floor, 25
feet above the ground. You need to borrow a ladder from one of your neighbors.
There's a bush along the edge of the house, so you'll have to place the ladder 10 feet
from the house. What length of ladder do you need to reach the window?
3. You've just picked up a ground ball at first base, and you see the other team's player running towards third
base. How far do you have to throw the ball to get it from first base to third base, and throw the runner out?
4. The airplane door is 19 feet off the ground and the ramp has a 31⁰ angle of elevation. What is the length y of
the ramp?
5. How far up will the ladder reach?
6. To get from point A to point B you must avoid walking through a pond. To avoid the pond, you must walk 34
meters south and 41 meters east. To the nearest meter, how many meters would be saved if it were possible to
walk through the pond?
7. A 90-foot escalator rises 28 feet vertically. What is the angle that the escalator makes with the floor?
8. A ladder is mounted on a fire truck, six feet above the ground. If the maximum length of the ladder is 120 feet
and the maximum angle to which it can be raised is 75⁰, how high up will the ladder reach?
9. A suitcase measures 24 inches long and 18
10. The older floppy diskettes measured 5 and 1/4 inches on
inches high. What is the diagonal length of the
each side. What was the diagonal length of the diskette to
suitcase to the nearest tenth of a foot?
the nearest tenth of an inch?
11. If  KMP is a right triangle formed by the placement of 3 squares,
what is the area of the shaded square?
A
B
C
D
135 in.2
24 in.2
66 in.2
81 in.2