A flagpole

A flagpole is leaning at an angle of 107° with the ground. A string fastened to the top of the flagpole is holding up the pole. If the string makes an angle of 38° with the ground and the flagpole is 8 m long, what is the length of the string?

Correct answer:

s =  12.4264 m

Step-by-step explanation:

f=8 m α=107  β=38  γ=180α=180107=73   sinγ=h:f  h=f sinγ=f sin73° =8 sin73° =8 0.956305=7.65044 m  sinβ=h:s  s=h/sinβ=h/sin38° =7.6504/sin38° =7.6504/0.615661=12.426=12.4264 m

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