$2x - 6 = 60 - x \\ add \: x \: to \:both \: sides \\ 2x + x - 6 = 60 - x + x \\ 3x - 6 = 60 \\ add \: 6 \: to \: both \: sides \\ 3x - 6 + 6 = 60 + 6 \\ 3x = 66 \\ divide \: both \: sides \: by \: 3 \\ \frac{3x}{3} = \frac{66}{3} \\ x = 22$

8 0

3 years ago

A 35-foot tall pole is leading towards a building. To stop the pole from leaning further, a 48-foot long cable is secured from t

anygoal [31]

9514 1404 393

Answer:

38.5°

Step-by-step explanation:

A triangle solver can give an answer easily. The angle is 38.5°.

The law of cosines can be written to solve for an unknown angle C opposite side 'c' and flanked by sides 'a' and 'b'.

C = arccos((a² +b² -c²)/(2ab))

Here, we have a=35, b=48, c=30, so the angle is ...

C = arccos((35² +48² -30²)/(2·35·48)) = arccos(2629/3360) ≈ 38.515°

The angle the cable makes with the pole is about 38.5°.

6 0

3 years ago