what is the angle of depression zipline

Question

06-09-2022
Mathematics

Answered

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what is the angle of depression zipline

Sagot :

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jamzlhanz14 jamzlhanz14 · Answer 1 · 2022-09-06T03:04:15-04:00

Answer and Explanation:

The problem provides the following information:

Hypotenuse

=

h

y

p

=

5129

ft

Vertical drop

=

o

p

=

1275

ft

To find the angle of depression, the best trigonometric ratio to use is the sine ratio. After equating it with the ratio of the opposite side over the hypotenuse, get the inverse of the sine ratio as shown:

sin

θ

=

o

p

h

y

p

θ

=

sin

−

1

(

o

p

h

y

p

)

θ

=

sin

−

1

(

1275

ft

5129

ft

)

θ

=

sin

−

1

(

0.2485864691

)

θ

=

14.3938824691

≈

14.4

∘

The angle of depression is

14.4

Sagot :

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