When a roadway inclines @ angle of 16.5°. If the hill is 40 feet high, then how many feet of actual?

Question

...  road surface must be paved round to the nearest whole foot

Answer

Trigonometry is based on a picture of a circle with the radius making an angle with the x axis. You carry this picture in your head, not your calculator. Trig is mostly imagination and the rest memorization.

Remember Chief SohCahToa
Sin = Opposite/Hypotenuse
Cosine = Adjacent/Hypotenuse
Tangent = Opposite/Adjacent

Also memorize:
Sec = 1/Cos
Csc = 1/Sin
Cot = 1/Tan

sec(16.5) x 40 = 140.8 feet which we round to 141 feet.

When a roadway inclines @ angle of 16.5°. If the hill is 40 feet high, then how many feet of actual?

Answers (1)