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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?

Acceptfully  May 30, 2017

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