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WorksheetsGeometry Right Angle Trigonometry
Total questions: 22
Worksheet time: 11mins
Brian’s kite is flying above a field at the end of 65 m of string. If the angle of elevation to the kite measures 70°, how high is the lite above Brian’s head?
x = 63 m
x = 61 m
x = 59 m
x = 56
Find the value of sin(A).
1/2
15/17
8/17
8/15
Find the lengths of r and t using the special right triangle below.
r = 12 3 , t = 24
r = 24 , t = 24 3
r = 12 , t = 12 2
r = 24 , t = 12 3
Approximate the unknown angle θ, in the diagram?
0.848 °
0.723 °
48.6 °
Layla leans a ladder 5m long onto the side of a house. The ladder makes an angle of 65° with the ground. How high on the house does the ladder reach?
x = 5.4
x = 4.5 m
x = 3.6
x = 3.9
Which expression represents sin(G) for the triangle shown?
x/y
y/z
z/y
x/z
Find the length of c.
6
6
10
In the right triangle ABC, angle A and angle B are complementary angles. The value of cos(A) is 5/13. What is the value of sin(B)?
13/12
13/5
5/13
12/13
Determine the approximate value of θ.
69.4 °
22.0 °
68.0 °
Which type of triangle does NOT exist?
Right Scalene Triangle
Obtuse Equilateral Triangle
Right Isosceles Triangle
Acute Scalene Triangle
Determine the approximate value of x using basic trigonometry. (Round to the nearest hundredth)
x = 5.29
x = 10.85
x = 17.01
x = 7.46
Consider the right triangle ABC, with a right angle at vertex C. If cos(B) = 8/17, what is the value of tan(B)?
15/8
17/8
15/17
8/15
Find the length of a.
2 10
5
2
Which is the only expression below that would represent the measure of ∠θ ?
sin-1(4/11)
tan-1(4/11)
tan-1(11/4)
cos-1(4/11)
Given that the length of two sides of a triangle are 4 cm and 8 cm, which of the below is the only measure that could possibly be a length of the last unknown side?
5 cm
12 cm
3 cm
15 cm
Find the measure of angle B. (Round to the nearest whole number)
55 °
35 °
47 °
In the right triangle XYZ, angle Y is the right angle and ∠Z = 27°. What is the approximate value of b/c?
= 0.912
= 0.454
= 0.510
= 0.891
Which is the only set of 3 measurements below that could represent the lengths of 3 sides of a triangle?
3 cm, 4 cm, 8 cm
6 cm, 4 cm, 8 cm
4 cm, 5 cm, 10 cm
2 cm, 6 cm, 4 cm
Using your knowledge of special right triangles, find the length of y.
y = 6 2
y = 6
y = 3 2
y = 2 6
Determine the approximate value of x using basic trigonometry. (Round to the nearest hundredth)
x = 29.12
x = 8.56
x = 9.46
x = 2.78
Determine the exact value of the following:
cos(45°)
2
2 2
1
Determine the exact value of the following:
sin(60°)
1/2
3
3 /3
