a cable that is 37ft long goes from the gound to the top of

a cable that is 37ft long goes from the gound to the top of a building and forms an angle of 48.9 degrees with the wall of a building. How many feet tall is the building? Round your answers to two decimal places and do not write the units.

Solution

Cable 37 ft long goes to bldg top making angle 48.9 deg with bldg wall. Suppose bldg is h ft tall.
Then h/37 = cos 48.9 deg, ie., h = 37* cos(48.9) = 24.32 ft.