Find the height of a vertical pole which casts a shadow 20 meter long on a level ground when the rays of the sun make an angle of 60 with the groud

Sagot :

Shadow on level ground from the angle to the foot of the pole = 20 meter
Height of the pole (opposite the angle) = x
tan θ = tan 60°

Equation:
tan θ = [tex] \frac{opposite}{adjacent} [/tex]

tan 60 = [tex] \frac{x}{20} [/tex]

x = tan 60 (20)

x = (1.732) (20)

x ≈ 34.64  or  35 meters

ANSWER:  The height of vertical pole is 34.64 meters or 35 meters.