+25 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?
+9479 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.
