Question

In the diagram, a building cast a 35-ft shadow and a flagpole casts an 8-ft shadow. If the the flagpole is 18 ft tall, how tall is the building? Round the the nearest tenth.​

Answer 1

Answer: 78.8 ft

Explanation:

Similar triangles have proportional sides.

`\frac{\text{building shadow}}{\text{building height}}=\frac{\text{flagpole shadow}}{\text{flagpole height}}\\\\\\\frac{35}{\text{building height}}=(8)/(18)\\\\\\(35* 18)/(8)=\text{building height}\\\\\\(35* 9)/(4)=\text{building height}\\\\\\(315)/(4)=\text{building height}\\\\\\\boxed{78.75=\text{building height}}`