Trigonometry
posted by marvin on .
the leaning tower of pisa is 179 ft tall. it leans at an angle of 5.5 degrees. if the angle of elevation of the sun is 60 degrees and the sun is opposite the side on which the tower leans, how long is the shadow that the tower will cast?

Make a sketch.
I have a triangle ABC, where BC is the ground, AC is the tower.
Angle B = 60°, angle C = 84.5°, making angle A = 35.5°
by Sine Law:
BC/sin 35.5° = 179/sin 60°
I get BC = 120.026
So the shadow of the tower is 120 ft long 
the angle of elevation of the sun is 31 degrees. find the lenght of the shadow, to the nearest foot, of a man that is 6feet tall.