The front of an A-frame cottage has the shape of an isosceles triangle. It stands 28 feet high and is 18 feet wide at its base. What is the angle of elevation of its roof? (Round your answer to two decimal places.)

9514 1404 393

  72.18°

Step-by-step explanation:

The altitude of the front is 28 ft. It cuts the base in half, so the other leg of the right triangle is (18 ft)/2 = 9 ft. You know the tangent relation is ...

  Tan = Opposite/Adjacent

The angle of interest has opposite side 28 ft and adjacent side 9 ft, so we have ...

  tan(elevation angle) = (28 ft)/(9 ft)

  elevation angle = arctan(28/9)

  elevation angle ≈ 72.18°

8(x) =< 34

She is 8 now times an unknown variable is equal to or less than 34