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The angle of depression of the top and the foot of a flagpole as seen from the top of a building 145 metres away are 26° and 34° respectively. Find the heights of the pole and the building.

Respuesta :

The height of the pole and the building are 27.1 meters and 97.8 meters respectively.

How to find the height of the pole and the building?

The situation forms a right angle triangle. The height of the building can be found using trigonometric ratios,

Therefore,

tan 34 = opposite / adjacent

tan 34 = h / 145

h = 145 tan 34

h = 145 × 0.67450851684

h = 97.8037349422

Therefore,

height of the building = 97.8 meters

tan 26 = x / 145

x = 145 tan 26

x = 70.721225342 meters

Therefore,

height of the flagpole = 97.8 - 70.7 = 27.1 meters

learn more on right triangle here: https://brainly.com/question/15322533

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