# trigo

A submarine at the surface of the ocean makes an emergency dive, its path making an angle of 21deg with the surface.

a. If it goes for 300 meters along its download path, how deep will it be? What horizontal distance is it from its starting point?

b. How many meters must it go along its downward path to reach a depth of 1,000 meters?

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1. The downward path can be represented by the hypotenuse of a rt. triangle
with an angle of 21 deg. between the
hypotenuse and hor side.

a. Sin21 = Depth/300
Depth = 300 * Sin21 = 107.5m.
Hor. Dist. = 300 * Cos21 = 280.1m.

b. Dist. = 1000m / Sin21 = 2790.4m.

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