Setting Up Right Triangle Trig Ratios
Authored by Anthony Clark
Mathematics
10th Grade
CCSS covered
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13 questions
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1.
DRAG AND DROP QUESTION
1 min • 5 pts
We can find the length marked y using the tan function which is the ratio of (a) . So we write tan (45) = (b) . We can find x using the cos function and set up and solve the proportion (c) 45 = (d) .
opposite / adjacent
y/5
cos
5/x
90
5/y
x/5
y/x
opposite / hypotenuse
adjacent / opposite
Tags
CCSS.HSG.SRT.C.8
2.
MULTIPLE CHOICE QUESTION
1 min • 5 pts
A tourist views a deer from a height of 45 feet. The horizontal distance between the tourist and the deer is 130 feet. At what angle (x) should the tourist hold his camera to photograph the deer? Round your answer to the nearest degree.
19 degrees
45 degrees
71 degrees
138 degrees
Tags
CCSS.HSG.SRT.C.8
3.
DRAG AND DROP QUESTION
1 min • 5 pts
Since d is the side opposite the angle marked 39 degrees and 30 m is the (a) of the right triangle, we can use the sin function to find the distance marked d by setting up and solving the proportion sin( (b) )= (c) . When we solve for d, we get (d) .
hypotenuse
39
d/30
18.9
30/d
27.5
cos
tan
Tags
CCSS.HSG.SRT.C.8
4.
MULTIPLE CHOICE QUESTION
1 min • 5 pts
Find the trig value of sin A. [Note: A refers to the angle with vertex A.]
A
B
C
D
Tags
CCSS.HSG.SRT.C.6
5.
MULTIPLE CHOICE QUESTION
1 min • 5 pts
Find the trig value of sin C. [Note: C refers to the angle with vertex C.]
A
B
C
D
Tags
CCSS.HSG.SRT.C.6
6.
MATCH QUESTION
1 min • 5 pts
Use the diagram to match each expression with the correct value.
The measure of the third angle of the triangle
90 - x
300/400
tan (90 - x)
400/300
the distance from A to the plane
500
tan x
Tags
CCSS.HSG.SRT.C.7
7.
MATCH QUESTION
1 min • 5 pts
In the diagram on the left, one angle is marked "?". Use this to match each term with the correct value.
90 - ?
the side that is opposite angle ?
23
the hypotenuse of the triangle
23/28
sin (?)
28
the measure of the third angle
23/28
cos (90 - ?)
Tags
CCSS.HSG.SRT.C.6
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