The angle of elevation at the top of a building at point A (on level ground) is 62 degrees. At a point 120m away from A, the angle of elevation is found to be 35 degrees. Find the height of the building.

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- Jul 12th 2012, 04:52 AMfActorAngle of elevation problem
The angle of elevation at the top of a building at point A (on level ground) is 62 degrees. At a point 120m away from A, the angle of elevation is found to be 35 degrees. Find the height of the building.

- Jul 12th 2012, 05:11 AMProve ItRe: Angle of elevation problem
- Jul 12th 2012, 05:32 AMfActorRe: Angle of elevation problem
- Jul 12th 2012, 05:38 AMProve ItRe: Angle of elevation problem
- Jul 12th 2012, 05:53 AMfActorRe: Angle of elevation problem
- Jul 12th 2012, 06:19 AMSorobanRe: Angle of elevation problem
Hello, fActor

Quote:

From a point A on level ground the angle of elevation to the top of a building is 62^{o}.

At a point 120m away from A, the angle of elevation is found to be 35^{o}.

Find the height of the building.

If you put the point**on**the building, where is the 35^{o}angle?

There is basically one diagram that satisfies the description.

Code:`* T`

* * |

* * |

* * | h

* * |

* 35o * 62o |

* - - - - - * - - - - - *

B 120 A x :

The angle of elevation to the top of the building is 62^{o}.

He moves 120 m away from (and away from the building) to

Now the angle of elevation to is only 35^{o}.

We want , the height of the building.

Let be the distance from to the base of the building.

We have: .

From [1]: .

From [2]: .

Equate [3] and [4] and solve for