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never [62]
3 years ago
5

The hiking path to the top of a mountain makes, at the steepest place, an angle of 20° with the

Mathematics
1 answer:
PtichkaEL [24]3 years ago
4 0

<u>We are given:</u>

a right angled triangle with the angle of elevation = 20 degrees

Hypotenuse of the Triangle = 500 m

<u>Finding the change in Elevation:</u>

We will use trigonometry in the given triangle to find the length of the perpendicular of the triangle

Using trigonometry, we found that the perpendicular = 500 * Sin 20 degrees

Perpendicular = 500 * 0.342           <em>[sin(20 degrees) = 0.342]</em>

Perpendicular = 171 m

The closest value to 171m in the given options is 170m

Therefore, 170m <em>(option B)</em> is correct

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