You are standing 25 feet from the base of a flagpole. The angle of elevation to the top of the flagpole is 40°. What is the height of the flagpole to the nearest tenth

Answer: the height of the flagpole is 21 ft

Step-by-step explanation:

Since the angle of elevation to the top of the flagpole is 40°, a right angle triangle is formed. The height of the flagpole represents the opposite side of the right angle triangle. Your distance from the base of the flagpole represents the adjacent side of the right angle triangle. Therefore, to determine the height of the flagpole, x, we would apply the tangent trigonometric ratio which is expressed as

Tan θ = opposite side/adjacent side

Tan 40 = x/25

x = 25tan40 = 25 * 0.8391

x = 20.98

x = 21.0 ft to the nearest tenth.