Question

A survey worker uses a 4.5 ft stand to site a spot on a road that is 65 feet away. What is the grade of the road? Round your answer to the nearest whole percent.

Answer 1

Given:-

Stand Height (h) = 4.5 ft

Road Distance (d)= 65 ft

To find:-

Grade of road(Q)= ?

$sin(Q)=\frac{h}{d}$

$Q= sin^{-1}( \frac{h}{d})$

$Q= sin^{-1}( \frac{4.5}{65})$

$Q= 3.69 \,degrees$