Aman standing on a lighthouse at a height of 124 feet sights two boats directly in front of him. one is at an angle of depression of 62°, and the other is at an angle of depression of 33°. identify the distance between the two boats. round your answer to the nearest foot.

Step-by-step explanation:

see the attached figure to better understand the problem

step 1

In the right triangle ABC find the length side BC

we know that

step 2

In the right triangle ABD find the length side BD

we know that

step 3

we know that

The distance between the two boats is the length side CD

substitute the values  

replace   with   27   and simplify.

10 , 27 , 10 , 70 , 10 , 35 , 10 , 48

step-by-step explanation:

step-by-step explanation:

we have

using a graphing tool

see the attached figure

this is a quadratic equation (vertical parabola) open up

the vertex is a > vertex

the domain of the function is all real > interval (-∞,∞)

the range of the function is the > [-6.125,∞)

the function has two x->   and

the function is increasing over the > (0.25,∞)

the function is decreasing over the > (-∞,0.25)