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Vladimir79 [104]
2 years ago
15

A surveyor measures the angle of elevation of the top of a mountain from a point at

Mathematics
1 answer:
Sauron [17]2 years ago
4 0

The height of the mountain from a point a sea level is approximately 1496.650 meters.

<h3>What is the height of mountain from sea level?</h3>

First, we construct the <em>geometric</em> diagram of the situation and find all needed angles and sides to determine the height of the mountain. First, we determine the missing side x by the law of sines:

Law of sines

1000 m/sin 3° = x/sin 14.261°

x ≈ 4706.886 m

Now we determine the height of the mountain by <em>trigonometric</em> functions:

h = 100 m + (4706.886 m) · sin 17.261°

h ≈ 1496.650 m

The height of the mountain from a point a sea level is approximately 1496.650 meters.

To learn more on law of sines: brainly.com/question/13098194

#SPJ1

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\\ \sf\longmapsto 2(L+B)=55

\\ \sf\longmapsto 2(\dfrac{4}{3}x+x)=55

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\\ \sf\longmapsto \dfrac{8x+6x}{3}=55

\\ \sf\longmapsto \dfrac{14x}{3}=55

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\\ \sf\longmapsto x\approx 12

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