A 20 ft flag pole casts a shadow 32 ft long. What is the angle of elevation of the sun?

The angle of elevation of the sun is 32°

Step-by-step explanation:

Right Triangles

The flagpole and the ground form a right angle (90°). In triangles with right angles, the trigonometric ratios are satisfied.

Each acute angle has an adjacent leg and an opposite leg. The tangent ratio relates to both legs.

The opposite leg to angle x is 20 ft and the adjacent leg is 32 ft, thus:

Calculate x by using the inverse tangent:

The angle of elevation of the sun is 32°

answer: x=60

x = 1/2

step-by-step explanation:

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