Geometry Unit 4 Tangent Worksheet
Name:________________
Per:____Date:__________
1. Use the Tangent Ratio and Pythagorean Theorem to find the missing side and hypotenuse.
(Label the HYP, OPP, ADJ and show all your work for full credit)
a.
b.
25
8
c.
12
x
30
x
y
15°
5
d.
e.
40°
f.
14
26
x
x
22
y
65
10
2. Use the Tangent Ratio to find the missing angle Ө and hypotenuse of each.
(Label the HYP, OPP, and ADJ and show all work for full credit)
d.
e.
θ
5
f.
25
19
θ
10
θ
11
6
g.
h.
θ
i.
6
40
18
θ
11
22
θ
10
3. State the slope ratio for the following triangles.
a.
b.
c.
7
10
25
θ
θ
θ
35
2
5
Slope Ratio:_____
Slope Ratio:______
Slope Ratio:_______
4. What is the compliment of:
a. 11˚ : _______
b. 22˚ : _______
c. 45˚ : _______
5. Draw a triangle with a slope ratio of:
a. 1/5
b. 5/2
c. 1/1
6. You now know everything you need to know in order to find all missing information about a right
triangle. Use this knowledge to solve for all of the missing parts of each triangle.
a.
b.
x
10
5
x
θ
θ
5
x = _____
3
x = _____
θ = ______
y = ______
θ = ______
y = ______