Question

Carl is standing the top of 35ft cliff looking down at a rock for notion in the sea. He estimates the angle of depression to the formation is 30' . What is the hozonal distance from Carl to the island?

Answer 1

70 ft

Explanation:

If you draw a diagram, a right triangle is formed from this scenario. Because Carl is directly 35 ft above the ground, this represents the opposite side length in the triangle model. The distance between Carl and island would represent the hypotenuse.

The trig function that corresponds with opposite and hypotenuse legs is Sine.

The equation is sin(30°) =
`(35)/(h)`

sin(30) is 1/2. The value of h that would make this equation true is 70. Therefore he is 70 feet away from the island