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SIZIF [17.4K]
2 years ago
13

a man standing 20m from a tower estimates the angles of elevation of the top and bottom of a flagpole on the tower as 58° and 55

°. calculate the height of the flagpole
Mathematics
1 answer:
schepotkina [342]2 years ago
7 0
60.56ft

You can get this by creating right triangles with the adjacent side as 20 and using the angles given. You can then find the opposite sides using tangents and then simply add them together. <span />
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So if both cot(<em>θ</em>) and cos(<em>θ</em>) are negative, that means sin(<em>θ</em>) must be positive.

Recall that

cot²(<em>θ</em>) + 1 = csc²(<em>θ</em>) = 1/sin²(<em>θ</em>)

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sin²(<em>θ</em>) = 1/(cot²(<em>θ</em>) + 1)

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Plug in cot(<em>θ</em>) = -2 and solve for sin(<em>θ</em>) :

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kiruha [24]

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-3x + 7x = -12


You need to add like terms.


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