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10 months ago

The area of a window measures 336 Square inches. If the window is 16 inches wide. How long is the window?

Mathematics

1 answer:

adoni [48]10 months ago

4 0

The window has a length of 21 inches

<h3>How to determine the length of the window?</h3>

From the question, we have the following parameters

Area of the window = 336 square inches

Width of the window = 16 inches

The area of the window is the product of its dimensions

So, we have

Area = Width of the window x Length of the window

Substitute the known values in the above equation

So, we have the following equation

336 = 16 * Length

Divide both sides by 16

Length = 21

Hence, the length is 21 inches

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Step-by-step explanation:

The triangle in the given problem is a right triangle, as the tower forms a right angle with the ground. This means that one can use the right angle trigonometric ratios to solve this problem. The right angle trigonometric ratios are as follows;

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Please note that the names ( $opposite$ ) and ( $adjacent$ ) are subjective and change depending on the angle one uses in the ratio. However the name ( $hypotenuse$ ) refers to the side opposite the right angle, and thus it doesn't change depending on the reference angle.

In this problem, one is given an angle with the measure of (35) degrees, and the length of the side adjacent to this angle. One is asked to find the length of the side opposite the (35) degree angle. To achieve this, one can use the tangent ( $tan$ ) ratio.