Question

Roberts engineering team is working on a plan for building a new straight road to the top of a Who in his town he must make sure that the grade or the angle of elevation The road forms with the flat Road is 6° the height of the hell is 100 feet. What is the approximate length of the road in feet?

Answer 1

957 fts

Explanation:

From the diagram : We could obtain the approximate length of the road in feet using Pythagoras rule :

Using

Sinθ = opposite / hypotenus

Let hypotenus = d

Opposite = height of hill = 100 feets

θ = 6°

Sin6 = 100 / d

0.1045284 = 100 / d

0.1045284 * d = 100

d = 100 / 0.1045284

d = 956.67780

Road to the top of hill = 957 fts