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amm1812
3 years ago
12

A surveyor measures the lengths of the sides of a triangular plot of land. What is the measure of the angle of the triangular pl

ot at which the surveyor stands? Approximate to the nearest degree.
cos–1(0.75) = 41°
cos–1(0.125) = 83°
cos–1(0.15) = 89°

Mathematics
2 answers:
RoseWind [281]3 years ago
6 0

Answer: Second option is correct.

Step-by-step explanation:

Since we have given that

a = 300 m

b = 250 m

c = 200 m

We need to find the measure of angle i.e. A

As we know the "Law of Cosine rules ":

\cos A=\frac{b^2+c^2-a^c}{2bc}\\\\\cos A=\frac{250^2+200^2-300^2}{2\times 250\times 200}\\\\\cos A=\frac{12500}{100000}\\\\\cos A=0.125\\\\A=\cos^{-1}(0.125)\\\\A=82.81^\circ\\\\A\approx 83^\circ

Hence, Second option is correct.

SVEN [57.7K]3 years ago
4 0
The second one is correct
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<h3>Given information-</h3>

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As all the sides are equal thus the \Delta MNO is a equilateral triangle in which the height of the divides the triangle into two equal part of the length 8\sqrt{3} at point <em>R.</em>

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<em />\begin{aligned}h^2 &=(16\sqrt{3})^2 -(8\sqrt{3})^2\\h^2 &=16\times16\times3 -8\times8\times3\\h^2 &=576\\h &=\sqrt{576}\\h &=24\\\end<em />

<em />

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Learn more about the equilateral triangle here;

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