A flagpole at a right angle to the horizontal is located on a slope that makes an angle of 8° with the horizontal. The flagpole's shadow is 15 meters long and points directly up the slope. The angle of elevation from the tip of the shadow to the sun is 20°.

(a) Draw a triangle to represent the situation. Show the known quantities on the triangle and use a variable to indicate the height of the flagpole.

(b) Write an equation that can be used to find the height of the flagpole h.

(c) Find the height of the flagpole. (Round your answer to one decimal place)

Question

A flagpole at a right angle to the horizontal is located on a slope that makes an angle of 8° with the horizontal. The flagpole's shadow is 15 meters long and points directly up the slope. The angle of elevation from the tip of the shadow to the sun is 20°.

(a) Draw a triangle to represent the situation. Show the known quantities on the triangle and use a variable to indicate the height of the flagpole.

(b) Write an equation that can be used to find the height of the flagpole h.

(c) Find the height of the flagpole. (Round your answer to one decimal place)

blockcolder · Answer

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