Download Answer Key for Drill Sheet 5

Answer Key for Drill
Sheet 5
A school safety committee has recommended that a
floodlight be mounted in a parking lot so as to illuminate
the employee exit. Find the angle of depression of the
floodlight. (adopted from Trigonometry 9th edition)
θ
θ
42.33
tan  
52.34
θ
42.33
  tan (
)
52.34
1
θ
θ  38.96
0
Suppose that the angle of elevation of the sun is
47.3° Find the length of the shadow cast by the
building, which is 28 m tall.
28
tan 47.3 
x
0
x tan 47.3  28
0
28
x
0
tan 47.3
28 m
47.3 °
x
x = 25.84 m
A ramp is 25 m long inclines at 15°. How high is its
top end above the ground?
x
sin 15 
25
0
25sin 15  x
x
0
15 °
x = 6.47 m
A man climbs 230 meters up the side of a pyramid and
finds that the angle of depression to his starting point is
52.6°. How high is he from the ground?
(Adopted from Soaring 21st century Mathematics)
x
sin 52.6 
230
0
230 sin 52.6  x
0
x = 182.72 m
52.6 °
x
A bird, flying 25 ft above the level ground, spots a mouse
on the land. If the mouse is 10 ft horizontally away from the
bird, what is the angle of elevation of the mouse to the
bird?
25 5
tan θ 

10 2
5
θ  tan ( )
2
1
θ  68.20
25 ft
0
θ
10 ft