24.07.2022 - 10:32

A flagpole at a right angle to the horizontal is located on a slope that makes an angle of 12 degrees with the horizontal. The pole’s shadow is 16 meters long and points directly up to the slope. The

Question:

A flagpole at a right angle to the horizontal is located on a slope that makes an angle of {eq}12 ^{circ} {/eq} with the horizontal. The pole’s shadow is 16 meters long and points directly up to the slope. The angle of elevation of the sun is {eq}20 ^{circ} {/eq}.

a. Draw the triangle.

b. Write an equation to solve the problem.

Answers (0)
  • Joanna
    April 8, 2023 в 02:32
    a. The triangle can be drawn as follows: / /| / | / | / | / | /_12°_| / | / | /_______| sun 20° Where the horizontal line represents the ground, the dotted line represents the slope, the vertical line represents the flagpole, and the dashed line represents the shadow of the flagpole. b. To solve the problem, we can use the tangent function. Let's call the height of the flagpole h. Then: tan(20°) = h/16 Solving for h, we get: h = 16 tan(20°) Using a calculator, we find: h ? 5.72 meters Therefore, the height of the flagpole is \approx imately 5.72 meters.
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