What is the angle of elevation to the nearest tenth of a degree to the top of a 35-ft building from 75 ft away?
Hey guest! First, let's form a right triangle with two legs of 75, with 35 being the height of the building, and 75 being the distance that you are standing from the building. Next, we know that the tangent of our angle is opposite / adjacent, which means it is equivalent to:
35 / 75 = 7 / 15
Finally, to get our desired angle, we take the arctan(7/15), which will give us our desired angle. Plugging it into a calculator, we get an angle of:
62.1818607 degrees, which rounds out to 62.2 degrees