Geometry
Test – Chapter 8
Name _________________________
The lengths of three sides of a triangle are given. Describe each triangle as acute, right, or obtuse.
1) 14, 48, 50 ______________
2)
6, 7, 9 ______________
3) Is 13, 84, 85 a Pythagorean Triple? _____________
Find the values of the variables. Leave your answers in simplest radical form.
4) x = ___________
5) x = ______________
Using the special triangles rules, find x and y. If necessary, give answers in simplest radical form.
6) x = _______
y = ________
7. x = _______
y = ________
8) x = _______
y = ________
9) x = _______
y = ________
10) Express sin A, cos A, and Tan A as ratios.
Sin A = ___________
Cos A = ___________
Tan A = ___________
Find the value of x. Round lengths of segments to the nearest tenth and angle measures to the nearest degree.
11) x = ___________
12) x = ___________
13) x = ___________
14) x = ___________
15) x = ___________
16) x = ___________
17) Describe each angle as it relates to the objects in the diagram.
 1 __________________________________________________
 4 __________________________________________________
18) A forest ranger looking out from a ranger’s station can see a forest fire at a 35 o angle of depression. The ranger’s position is
100 ft above the ground. How far is it from the ranger’s station to the fire?
19) A child lets out his kite string 142 ft in the air. The angle the kite string makes with the ground is 53o. What is the height of
the kite?
20) A surveyor measures the top of a building 50 ft away from him. His angle-measuring device is 4 ft above the ground. The
angle of elevation to the top of the building is 63 o. How tall is the building?
21) An airplane pilot can see the top of a traffic control tower at a 20o angle of depression. The airplane is 5000 ft from the
tower. What is the altitude of the airplane?
Extra Credit
Find x to the nearest tenth.