Hint: cos(105) = cos(60 + 45). now use the addition formula for cosine and continue

did you draw a diagram? if not, do so. you will realize the following:2) A surveyor determines that the angle of elevation of a mountain peak is 35 degrees. Moving 1000 feet further away from the mountain, the surveyor determines the angle of elevation to be 30 degrees. Find the mountain's height.

Thanks!

Let the height of the mountain be

Let the first position of the surveyor be feet from the mountain. then

you have two simultaneous equations with two unknowns, you are required to solve for one of them, namely