Angle of Elevation:
tan θ = [tex] \frac{opposite}{adjacent} [/tex]
Opposite the angle of elevation (height of the tower) = x
Angle of elevation = 30°
Adjacent (shadow cast by the tower) = 78.2 meters
Equation:
tan 30 = [tex] \frac{x}{78.2} [/tex]
x = (tan 30) (78.2)
(In scientific calculator, enter 30, then press "tan")
x = (0.577)(78.2)
x = 45.12
ANSWER: The tower is 45.12 meters high.
