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WILL GIVE BRAINLIEST The angle of elevation from Ben to the top of a telephone pole is 62 degrees. If Ben is standing 8 feet from the base of the pole, find the height of the telephone pole. Round your answer to nearest thousandths of a foot.

Sagot :

JeanaShupp

Answer: The height of the telephone pole = $15.046

Step-by-step explanation:

Given: Angle of elevation= 62 degrees.

Distance of Ben from the base of the pole = 8 feet

According to trigonometry, we have

[tex]\tan x=\dfrac{\text{side opposite to x}}{\text{side adjacent to x}}[/tex]

i.e.

[tex]\tan 62^{\circ}=\dfrac{\text{ height of the telephone pole}}{8}\\\\(1.880726)=\dfrac{\text{ height of the telephone pole}}{8}\\\\\text{ Height of the telephone pole} = 8\times 1.880726\approx15.046[/tex]

Hence, The height of the telephone pole = $15.046

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