Question

An 18-foot ribbon is attached to the top of a pole and is located on the ground 10 feet awayfrom the base of the pole. Suppose Mateo has a second ribbon that will be located anadditional 23 feet away past that point.Find the measure of the angle formed by Mateo's ribbon and the ground. Round the angle tothe nearest tenth of a degree.a10 ft18 ft23 ft8

Answer 1

To begin we need to find the value of a

We apply the Pythagorean theorem

`\begin{gathered} 18^2=a^2+10^2 \\ a^2=18^2-10^2 \\ a=√(18^2-10^2) \\ a=4√(14) \end{gathered}`

Now we find theta

Here we use the tangent that is the oppositive side over the adjacent side

`\begin{gathered} \tan\theta=(4√(14))/(33) \\ \\ \theta=\tan^(-1)((414)/(33))=24.39\degree \end{gathered}`