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Vaselesa [24]
2 years ago
9

2. Write an expression that can be used to

Mathematics
1 answer:
kozerog [31]2 years ago
5 0

The expression to find the length of JH is JH = 9\cdot \sin 35^{\circ}.

The expression to find the length of GJ is GJ = 9\cdot \cos 35^{\circ}.

<h3 /><h3>Resolution - Determination of expression for the side lengths of a right triangle</h3>

<h3>Some facts on right triangles</h3>

A <em>right</em> triangle has two legs and a hypotenuse, the two legs are <em>adjacent</em> to a <em>right</em> angle and the hypotenuse is the side opposite to that angle. Besides, the hypotenuse is the longest side of the right triangle.

<h3>Determination of trigonometric expression for needed lengths</h3>

We can determine the value of each leg by means of trigonometric relations in terms of the hypotenuse and an angle <em>adjacent</em> to it, which are described below:

JH = GH\cdot \sin \theta (1)

GJ = GH\cdot \cos \theta (2)

If we know that GH = 9 and \theta = 35^{\circ}, then the expressions are:

<h3>Length of JH</h3><h3 />

JH = 9\cdot \sin 35^{\circ}

<h3>Length of GJ</h3>

GJ = 9\cdot \cos 35^{\circ}

<h3>Conclusions</h3><h3 />

The expression to find the length of JH is JH = 9\cdot \sin 35^{\circ}. \blacksquare

The expression to find the length of GJ is GJ = 9\cdot \cos 35^{\circ}. \blacksquare

To learn more on right triangles, we kindly invite to check this verified question: brainly.com/question/7894175

<h3>Remark</h3>

The statement is incomplete and full of mistakes. In addition, there is an image missing. The complete and corrected expression is presented:

<em>Write an expression that can be used to find the length of </em>JH<em> and an expression that can be used to find the length of </em>GJ<em>.</em>

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