i A man drives 500 m along a road which is inclined 20 to th

i. A man drives 500 m along a road which is inclined 20 to the horizontal. How high above his starting point is he?

ii. Two straight roads intersect to form an angle of 75. Find the shortest distance from one road to a gas station on the other road that is 1000 ft from the intersection.

Solution

1)sin(20) = y/hypotenuse

            = y/500

         y = (500)sin(20) = 171 m