can someone please help me on this question To find the height of a building, a surveyor positions a transit that is 2 meters tall to a spot 100 meters from the base of the building. He measures the angle of elevation to the top of the building to be 48 degrees. What is the height of the building to the nearest meter?

Answer 113 meters
109 meters
111 meters
76 meters

Question

can someone please help me on this question To find the height of a building, a surveyor positions a transit that is 2 meters tall to a spot 100 meters from the base of the building.  He measures the angle of elevation to the top of the building to be 48 degrees. What is the height of the building to the nearest meter?

Answer    113 meters 
   109 meters 
   111 meters 
   76 meters

anonymous · Answer

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anonymous · Answer

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anonymous · Answer

Drawing the triangle described, the trigonometric relationship we need is:$$\tan48=(h-2)/d$$where h is the height of the building and d is the distance to the building (we use h-2 because the measuring apparatus is 2m off the floor).

Solving for h, where d is 100, gives 113 metres.