A12-foot metal guy wire is attached to a broken stop sign to secure its position until repairs can be made. attached to a stake in the ground, the guy wire makes an angle of 51˚ with the ground. how far from the foot of the stop sign is the stake, to the nearest tenth of a foot?

7.6 feet.

Step-by-step explanation:

1. Based on the information given in the problem, you can draw a right triangle as the one shown in the figure attached, where x is the distance between the foot of the stop sign and the stake.

2. Then, you can calculate x as following:

Where:

Substitute values and solve for x:

3. To the nearest tenth of a foot, the distance is: 7.6 feet.

sas (side angle side)

aa (angle angle)

sss(side side side)

sas find two sides with an angle in between

aa is finding two angles and the third will add up to 180

sss find all sides

step-by-step explanation: