Please help!

Question

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A field in the shape of a right triangle is bordered on one side by a stream, on another side by a road, and on a third side by a fence.

What angle does this stream make with the road?

Round only your final answer to the nearest degree.

Acceptfully May 30, 2017

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Best Answer

Let theta be the angle the stream makes with the road.

$\cos \theta = \dfrac{20}{27}\\ \theta = \cos^{-1}\dfrac{20}{27}\approx 42^{\circ}$

This stream makes a 42-degree-angle with the road.

MaxWong May 30, 2017

edited by MaxWong May 30, 2017

MaxWong · Answer 1 · 2017-05-30T02:47:42

Let theta be the angle the stream makes with the road.

$\cos \theta = \dfrac{20}{27}\\ \theta = \cos^{-1}\dfrac{20}{27}\approx 42^{\circ}$

This stream makes a 42-degree-angle with the road.