The fireman is 1.8 meters tall and the length of his shadow is 3 meters. If the length of the buildings shadow is 26.4 meters calculate the height of the building and the angle of elevation to the sun?

Trigonometry
Feb 11, 2017

#1**+7 **

The height of the building over the height of the man equals the length of the building's shadow over the length of the man's shadow.

h/1.8 = 26.4/3

h = 15.84

**The height of the building is 15.84 meters.**

The tangent of the angle of elevation to the sun is 15.84/26.4

tan a = 15.84/26.4

a = arctan 0.6

**The angle of elevation to the sun is approximately 30.964 degrees.**

hectictar
Feb 11, 2017