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The length of the shadow of a building is 90 meters, as shown below: The shadow of a building is 90 meters long. The acute angle that the shadow makes with the line joining the tip of the building to the end of the shadow measures 30 degrees. What is the height of the building?

Respuesta :

Answer:

Height of the building = 51.93 m

Step-by-step explanation:

In the given diagram Shadow of the given building AB is 90 m. Angle formed at point C is 30°.

We have calculate the length of the building.

Since [tex]tanC=\frac{AB}{BC}=\frac{AB}{90}[/tex]

[tex]tan 30=\frac{AB}{90}=0.577[/tex]

[tex]AB=90.(0.577)=51.93 m[/tex]

AB = 51.93 meter.

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Answer: 51.93

Step-by-step explanation:

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