A boat has an angle of depression of 38° looking down to a submarine. The distance from the boat to the submarine is 500 yards. How far below sea level is the submarine?

307.8 yards

Step-by-step explanation:

Hi, since the situation forms a right triangle (see attachment) we have to apply the next trigonometric function.  

Sin α = opposite side / hypotenuse  

Where α is the angle of depression of the boat looking down to a submarine, the hypotenuse is the distance from the boat to the submarine, and the opposite side (x) is the distance between the submarine and the sea level:

Replacing with the values given:  

Sin 38 = x/ 500

Solving for x  

Sin 38 (500) =x  

x= 307.8 yards

Feel free to ask for more if needed or if you did not understand something.  

hi,

you half the rectangle that you ae asking about so then you would see the scale factor of 1/2 the one u have selected, the one on top is half.

hope this !