Question

matt is standing on top of a cliff 305 feet above a lake. The measurement of the angle of depression to a boat on a lake is 42 degrees. how far is the boat from matt

Answer 1

So, the distance from boat to matt is 455.81535feet

Explanation:

We are given height of a cliff is 305 feet

and the measurement of the angle of depression to a boat on a lake is 42 degrees

so, we can draw diagram

Let's assume

distance from boat to matt is x

We can use trig

`sin(42)=(305)/(x)`

now, we can solve for x

`x=(305)/(sin(42))`

`x=455.81535feet`

So, the distance from boat to matt is 455.81535feet