# Math Help - Finding an angle

1. ## Finding an angle

Hi, I really do not understand this question, if you could please solve and explain it, I would greatly appreciate it!

Here it is:

A wire is stretched from the top of a 200 ft building to a point on the ground. (130 ft). What angle does the wire make the ground?

Thank you so much!

2. Hello, uhhuh!

Did you try to make a sketch?

A wire is stretched from the top of a 200 ft building to a point on the ground
130 ft from the building. What angle does the wire make with the ground?
Code:
    A *
|\
| \
|  \
|   \
200 |    \
|     \
|      \
|       \
|      θ \
B * - - - - * C
130

$AB$ is the building: . $AB = 200$

The wire is stretched from $A$ to $C$: . $BC = 130$

We want: . $\theta \,=\,\angle ACB$

In right triangle $ABC\!:\;\;\tan\theta \:=\:\frac{200}{130}$

Therefore: . $\theta \;=\;\arctan\left(\tfrac{200}{130}\right) \:=\: 57.97613244 \;\approx\;58^o$