The apparent height of a building 10.5 km away is 0.02 radians. What is the approximate height of the building to the nearest meter

Approximate height of the building is 23213 meters.

Explanation:

Let the height of the building be represented by h.

0.02 radians = 0.02 ×

                     = 0.02 x (180/)

0.02 radians  = 1.146°

10.5 km = 10500 m

Applying the trigonometric function, we have;

Tan θ =

So that,

Tan 1.146° =

⇒ h = Tan 1.146° x 10500

      = 2.21074 x 10500

      = 23212.77

h = 23213 m

The approximate height of the building is 23213 m.

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