SOLUTION: a leader inclined at an angle of 36° to the horizontal leans against a vertical pole. if the leader is 7m away from the foot of the pole, calculate the length of the leader

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Question 1201262: a leader inclined at an angle of 36° to the horizontal leans against a vertical pole. if the leader is 7m away from the foot of the pole, calculate the length of the leader
Found 2 solutions by ikleyn, math_tutor2020:
Answer by ikleyn(52862) About Me  (Show Source):
You can put this solution on YOUR website!
.
a leader inclined at an angle of 36° to the horizontal leans against a vertical pole.
if the leader is 7m away from the foot of the pole, calculate the length of the leader
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    In a right-angled triangle, you are given a leg and the adjacent acute angle.
    The hypotenuse is an unknown.


    The hypotenuse is the leg divided by the cosine of the adjacent angle.

Memorize this rule and do as instructed.



Answer by math_tutor2020(3817) About Me  (Show Source):
You can put this solution on YOUR website!

Is "leader" supposed to be "ladder"?

This is one way to draw what is described


cos(angle) = adjacent/hypotenuse
cos(36) = 7/x
x*cos(36) = 7
x = 7/cos(36)
x = 8.65247584249852
x = 8.65

The hypotenuse is approximately 8.65 meters in length.
Round this value however your teacher instructs.