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The horizontal distance between two towers is 70m. The angle of depression of the top of the first tower when seen from the top of the second tower is 30°. If the height of the second tower is 120m, find
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The horizontal distance between two towers is 70m. The angle of depression of the top of the first tower when seen from the top of the second tower is 30°. If the height of the second tower is 120m, find the height of the first tower.

User Daan Timmer
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As shown in the image, we have a 30 degree angle and x, which is what we want. By doing tan30, we can find x, so tan30=x/70 and 70*tan30=x= 70*sqrt(3)/3. 120-x=height of first tower = 120-(70*sqrt(3)/3) = roughly 79.59
The horizontal distance between two towers is 70m. The angle of depression of the-example-1
User Carlos Barbosa
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