A girl 1.0 m in height, standing on top of a vertical building 45.0 m high sees a car some distance away when the angle of depression is 55 degree. What distance is the car from the base of the building?

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jdsjjdjkdjd jdsjjdjkdjd · Answer 1 · 2021-03-09T20:27:21+01:00

65.5, is the answer I could be wrong tho

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ewomazinoade ewomazinoade · Answer 2 · 2021-10-19T11:28:23+02:00

The distance is the car from the base of the building is 32.21m.

The building forms a right angled triangle. Check the attached image for the diagram of the right-angled triangle.

The height is 45 + 1 = 46m

The base is what we are to determine.

Remember SOHCAHTOA.

We have the length of the opposite side and we are to determine the length of the adjacent side. So, we would use Tan

Tan = opposite / adjacent

Tan 55 = 46 / adjacent

1.42814 = 46 / adjacent

adjacent = 46 / 1.42814

= 32.21 m

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