Question

In ΔVWX, the measure of ∠X=90°, the measure of ∠W=25°, and WX = 61 feet. Find the length of XV to the nearest foot.

Answer 1

The length of XV in triangle VWX is approximately 26 feet.

Step-by-step explanation:

To find the length of XV, we can use the trigonometric relationship in a right triangle. In triangle VWX, the measure of angle W is 25° and angle X is 90°. We can use the sine function to find the length of XV. The sine of angle W is equal to the length of the side opposite angle W divided by the length of the hypotenuse. So, we have sin(25°) = XV/61. Rearranging the equation, we get XV = 61 * sin(25°). Plugging in the values, we find that XV is approximately 26 feet.

Answer 2

check the picture below.

make sure your calculator is in Degree mode.