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Dvinal [7]
2 years ago
5

50 POINTS EACH

Mathematics
1 answer:
Andrews [41]2 years ago
3 0

Since s and t are complimentary, that means ∠s + ∠t = 90

From the picture, we also know that ∠t + ∠LGM = 90

Set them equal to each other:

∠s + ∠t = ∠t + ∠LGM, solve:

∠s = ∠LGM

Now using the fact that tangent = opposite/adjacent:

tan (∠s) = \frac{y}{h}

tan (∠s) = \frac{h}{x}

Set them equal to each other to get:

\frac{y}{h} = \frac{h}{x}

Solve:

h^{2}= xy\\h = \sqrt{xy}

Part B:

Using tan (∠s) = \frac{y}{h}

We get: h = \frac{3}{tan38} = 3.84 meters

Hope that helps!

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