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
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