the sun shines on a flagpole, causing a shadow to be cast on the ground.the sun shines on a flagpole, causing a shadow to be cast on the ground. the distance from the base of the pole to the tip of the shadow is 49 feet. at that time of day, the sun's rays make an angle of 38° with the ground. How tall is the flagpole?
Answers
Answer:
38.3 feets
Explanation:
Given :
From the diagram attached below ; we could apply trigonometry to obtain the height of the flagpole:
Tan θ = opposite / Adjacent
θ = 38° ; opposite = height of flagpole, h
Adjacent = 49 feets
Tan 38 = h / 49
0.7812856 = h / 49
Height of flagpole = 0.7812856 * 49
Height of flagpole = 38.282
Height of flagpole = 38.3 feets
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