In δuvw, the measure of ∠w=90°, the measure of ∠v=72°, and vw = 6.1 feet. find the length of uv to the nearest foot.

The length of UV is 19.7 ft.

Solution:

The given is a right triangle because W is 90 degrees. VW is adjacent to V and UV is the hypotenuse. Adjacent any hypotenuse use the cosine function. 

Refer the image attached below for the image of the triangle.

plug in known values

The value of cos(72°) is 0.309

On substituting the above value in (1) we get,

Therefore, the required measure is 19.7 ft.

if you use photomath right away it will give you the answer not like this app that you have to wait for people.

(f - g)(x) = 5x^3 - 3

step-by-step explanation:

rearrange these functions vertically, with like terms in separate columns:

f(x) = 5x^3 - 2

g(x) =         +1

now subtract, column by column:

(f - g)(x) = 5x^3 - 3