Answer:
The height of the building is approximately 73 m.
Step-by-step explanation:
The triangle EFG is shown below.
Given:
Length of shadow of building is, [tex]FG=34\ m[/tex]
Angle of inclination of Sun with the vertical is 25°.
Therefore, the angle of inclination of Sun with the horizontal is given as:
[tex]\angle G=90-25=65\°[/tex]
Now, in triangle EFG as shown below, we use the tangent ratio to determine the height of building EF. Therefore,
[tex]\tan (\angle G)=\frac{EF}{FG}\\\tan 65\°=\frac{EF}{34}\\EF=34\times \tan 65\°=72.9\ m\approx 73\ m[/tex]
Therefore, the height of the building is approximately 73 m.
