Question

1. A boat is 15 ft away from a point perpendicular to the shoreline. A person stands at a point down the shoreline so that a 65° angle is formed between the closest point to the boat, the person, and the boat. How far is the person from the boat? Round your answer to the nearest tenth of a foot. Show your work.
2.Find the value of x in the triangle. Round your answer to the nearest tenth of a degree. Show your work.
3. A utility pole is 35 ft tall. The pole creates a 50 ft shadow. What is the angle of elevation of the sun? Round your answer to the nearest degree. Show your work.
Math isn't my forte, but these are the last few questions I need help with today :) Thanks in advance.

Answer 1

1.) Let the distance of the person from the boat be x, then
sin 65 = 15/h
h = 15 / sin 65 = 16.55 ft

2.) No triangle shown

3.) Let the angle of elevation of the sun be x, then
tan x = 35 / 50 = 0.7
x = arctan (0.7) = 34.99