Apole is braced with a wire from the top of a pole to the ground. the wire is 100 feet long and makes an angle of 40° with the ground. find the height of the pole. 64 ft 77 ft 84 ft 156 ft

=64 ft

Step-by-step explanation:

The wire, the pole and the flat surface form a right triangle with a base angle of 40°. The pole is the height of the triangle and is opposite the angle 40°.

Therefore we can use the trigonometric ratio -sine of the angle 40° -to find the height.

Sin∅ =opposite/hypotenuse

opposite=hypotenuse × sin∅

=100ft × Sin 40°

=64.28ft

≅64 ft

step-by-step explanation:

first, eliminate the parenthesis:

3

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+

2

−

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second, group like terms:

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−

4

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+

2

third, combine like terms:

(

3

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+

2

→

−

1

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+

2

→

−

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2