Question

Can someone help me out with this.

Answer 1

The side MK measures 3.3 feet.

Step-by-step explanation:

Step 1:

In the triangle, the angle is 25°, the adjacent side has a length of x feet while the hypotenuse of the triangle measures 3.6 feet. The opposite side of the triangle is not given.

To determine the value of x, we determine the value of the cos of the given triangle.

To calculate the cos of an angle we divide the adjacent side by the hypotenuse of the same triangle.

$cos \theta = \frac{adjacentside}{hypotenuse} .$

Step 2:

The length of the adjacent side = x feet.

The length of the hypotenuse = 3.6 feet.

$cos \theta = \frac{adjacentside}{hypotenuse}, cos 25 = \frac{x}{3.6} , cos 25 = 0.9063.$

$x = 0.9063 (3.6) = 3.2626.$

So the adjacent side of the triangle measures 3.2626 feet. Rounding this off to the nearest tenth, we get that MK measures 3.3 feet.