Download Name Class Period 1. If the legs of an isosceles right triangle are 6

Name ________________________________________________ Class Period _______________
1. If the legs of an isosceles right triangle are 6 units long, find the length of the hypotenuse.
2. Eva Lewis wants to put an underground sprinkler system in her back yard. A drawing of the system is shown
below. About how many feet of water pipe will Eva need?
3. A 6-ft ladder is placed against a wall with its base 2 ft from the wall. How high above the ground is the top of
the ladder?
4. The aspect ratio for a television is 5:3 representing width to height. What is the height and width of a 60
inch screen television to the nearest tenth of an inch? (Remember 60 inches represents the diagonal of the
television screen).
Directions: Find each side of the special right triangle.
5.
6.
7.
30°
c
60°
45°
c
Directions: Use the special right triangles to find the following trigonometric ratios.
8.
9. v
c
v
30°
45°
a) sin 30°
b) cos 60°
a) sin 45° c
b) tan 45°
v
Directions: Find the following trigonometric ratios.
10)
11)
a) sin C
b) cos A
c) tan A
a) tan A
b) cos C
c) sin A
v
Directions: Determine if the following lengths make an acute, obtuse, or right triangle.
12) 5, 12, 13
13) 8, 11, 12
Directions: Determine if the following lengths make a Pythagorean Triple.
14) 12, 16, 20
15) 8, 9, 12
Directions: Solve.
16) Draw ∆CAT where ATC = 90, CA = 53, and CT = 28.
a) What is the length of AT?
b) What is sin C?
12
.
20
b) What is tan A?
c) What is tan A?
17) Draw ∆ABC where B = 90 and sin A 
a) What is the length of AB?
c) What is cos A?
18) Solve for the missing side or angle using Trig Ratios (sin, cos, tan).
a)
b)
c)
d)
e)
f)
19) An 8 foot ladder is leaning against a wall so that the base is 5 feet from the base of the wall. What angle
does the ladder make with the ground? Round to the nearest tenth.
20) A surveyor is standing 25 feet from a building and is looking at the top with an angle of elevation of 65°.
How tall is the building? Round to the nearest tenth.
21) A kite is being flown using 150 yards of string. The kite has an angle of elevation with the ground of 65
degrees. How high above the ground is the kite?