Rosarysalimbotdimpleidn
Answered

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a certain tower cast a shadow of 78.2 m.. if the angle of elevation of the sun is 30 degrees, how high is the tower

Sagot :

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.