1. help with trig problems!!!

Can someone help me with this problem

1.From a 35 meter high window , the angle of depression to the top of a nearby streetlight is 55*. The angle of depression to the base of the streetlight is 57.8*. how high is the streetlight?

so far the only result I have come up with is 2.46 m, which is wrong! please don't use either law of sines or law of cosines to solve this problem ! Thanks

2. Originally Posted by vance
Can someone help me with these problems;

1.From a 35 meter high window , the angle of depression to the top of a nearby streetlight is 55*. The angle of depression to the base of the streetlight is 57.8*. how high is the streetlight?

so far the only result I have come up with is 2.46 m, which is wrong! please don't use either law of sines or law of cosines to solve this problem ! Thanks

1. hope you made a sketch ...

let h = height of the light

x = horizontal distance to the light

using right triangles ...

$\displaystyle \tan(55) = \frac{35-h}{x}$

$\displaystyle \tan(57.8) = \frac{35}{x}$

solve the system of equations for h

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from a window of the house, the angle of depression of an object on the ground is 14 degrees. six meters above the window the angle of depressiin of the same object is 24 degrees. Find the height of the house (top being the second point of observation)

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