Question

1. A telephone pole is 24 feet tall. Curtis, who is standing some distance away from the telephone pole measures the angle of elevation to the top of the pole as 51.4 degrees. How far away from the base of the telephone pole is Curtis standing if Curtis's eye height is 5.2 feet?

2. You are on vacation sight-seeing at the coast and climb up to the top of a 50-meter lighthouse. You look down to see a boat and measure the angle of declination to be 17.5 degrees. How far away is the boat from the base of the lighthouse?

3. The two equal angles of an isosceles triangle each measure 58.4 degrees. The perpendicular height of the triangle is 16.3cm (note: the perp height segment bisects the base of the triangle). What is the length of the base -edge of the triangle?

Answer 1

All the answers have been found by applying trigonometric relation tan a =perpendicular/base