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Question
An electric pole casts a
3
m long shadow on the ground at an elevation
60
°
, the height o fthe pole is-
3m
3
3
m
3
2
m
2
3
m
ANSWER : 1
Descrption
<p style="margin-left:0px;">To find the height of the electric pole, you can use trigonometry. In this case, you have a right triangle formed by the electric pole, its shadow, and the ground. The angle of elevation is given as 60 degrees, and you want to find the height (h) of the pole.</p><p style="margin-left:0px;">You can use the tangent function, which is defined as:</p><p style="margin-left:0px;">tan(θ) = opposite / adjacent</p><p style="margin-left:0px;">In this case:</p><p style="margin-left:0px;">tan(60°) = h / √3</p><p style="margin-left:0px;">Now, solve for h:</p><p style="margin-left:0px;">h = √3 * tan(60°)</p><p style="margin-left:0px;">First, calculate the tangent of 60 degrees:</p><p style="margin-left:0px;">tan(60°) = √3</p><p style="margin-left:0px;">Now, substitute this value back into the equation:</p><p style="margin-left:0px;">h = √3 * √3</p><p style="margin-left:0px;">h = 3</p><p style="margin-left:0px;">So, the height of the electric pole is 3 meters.</p>
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