Mast shadow

The mast has a 13 m long shadow on a slope rising from the mast foot toward the shadow angle at an angle of 15°. Determine the height of the mast if the sun above the horizon is at an angle of 33°. Use the law of sines.

Correct answer:

x =  11.5193 m

Step-by-step explanation:

s=13 m A=90−15=75 ∘ B=90−33=57 ∘ C=180−A−B=180−75−57=48 ∘   sin C : sin B = x: s  x=s⋅ sin(C°→ rad)/sin(B°→ rad)=s⋅ sin(C°⋅ 180π​ )/sin(B°⋅ 180π​ )=13⋅ sin(48°⋅ 1803.1415926​ )/sin(57°⋅ 1803.1415926​ )=11.519=11.5193 m

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