Lesson: The Tangent Ratio

Find the values of and giving your answer to the nearest second.

Find the values of and giving your answer to the nearest second.

A building is 8.78 km tall from the ground. The angle of elevation of the top of the building from a point on the ground is . Find the distance between the point on the ground and the top of the building giving the answer to the nearest metre.

What percentage grade should a road have if the angle of elevation of the road is 4 degrees? The percentage grade is defined as the change in the altitude of the road over a 100-foot horizontal distance. For example, a grade means that the road rises 5 feet for every 100 feet of horizontal distance.