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shusha [124]
2 years ago
9

Kristin is swimming in the ocean and notices a coral reef below her. The angle of depression is 35∘ and the depth of the ocean,

at that point is 250 feet. How far away is she from the reef? Round your answer to the nearest tenth of a foot if necessary.

Mathematics
1 answer:
LenaWriter [7]2 years ago
6 0

Answer:

Distance: 435.9 ft


Step-by-step explanation:

This is a right triangle shown in the picture.

To solve for x, we can use trigonometry.

The 35° angle's opposite side is 250 ft and the hypotenuse of the triangle is x (what we are seeking to find).

The ratio that relates opposite and hypotenuse is sine.


<em>We know that,</em>

sin(angle)=\frac{opposite}{hypotenuse}

<em>Thus we can write:</em>

sin(35)=\frac{250}{x}

<em>Cross multiplying and solving for x gives us:</em>

sin(35)=\frac{250}{x}\\x=\frac{250}{sin(35)}\\x=435.9


Second answer choice is right: 435.9 ft

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