EXPLANATION
Shadow=72 foot
The tall can be obtained by pplying the Pythagorean Theorem as shown as follows:
[tex]\tan \theta=\frac{Opposite\text{ Cathethus}}{\text{Adjacent cathetus}}[/tex]
As we can see, theta = 40 degrees, Opposite= unknown, Adjacent=72 ft
Replacing terms:
[tex]\tan 40=\frac{\text{unknown }}{72}[/tex]
Multiplying both sides by 72:
[tex]72\cdot\tan 40=unknown[/tex]
Solving the trig.:
[tex]72\cdot0.84=\text{unknown}[/tex]
Multiplying numbers:
[tex]60.48\text{ = unknown}[/tex]
Switching sides:
[tex]\text{unknown = 60.48}[/tex]
Answer: the building is 60 feet tall
