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A water slide is 400 yards long with a vertical drop of 36.3 yards. Find the angle of depression of the slide.

Answer :

Answer:

5.2° is correct.

Step-by-step explanation:

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Rewritten by : Barada

Answer:

The angle of depression of the slide is [tex]5.2^o[/tex]

Explanation:

Given the length of vertical drop, i.e., the perpendicular is 36.3 yards

Length of water slide is 400 yards

A slide is always slanted, therefore, it will be considered as the hypotenuse

Therefore, hypotenuse = 400 yards

Let the angle of depression be [tex]\theta[/tex]

[tex]\sin \theta=\frac{\text { perpendicular }}{\text { hypotenuse }}[/tex]

substituting the values,

[tex]\sin \theta=\frac{36.3}{400}=0.09075[/tex]

[tex]\theta=\sin ^{-1}(0.09075)[/tex]

[tex]\theta= 5.2^{\circ}[/tex]

Hence, the angle of depression is [tex]5.2^o[/tex]