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ANTONII [103]
3 years ago
9

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.

Mathematics
1 answer:
lana66690 [7]3 years ago
7 0
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

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<u>Solution:</u>

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<em><u>The total area of pyramid is given by:</u></em>

A=A_{b}+A_{l}   ---- eqn 1

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\begin{array}{l}{A_{b}=\frac{3 \sqrt{3}}{2}(4)^{2}} \\\\ {=\frac{3 \sqrt{3}}{2} \times 16=3 \sqrt{3} \times 8} \\\\ {A_{b}=24 \sqrt{3}}\end{array}

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The total area of pyramid is 113.569 square units approximately

The equation used to find total area of pyramid is Total area = base area + lateral area.

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