Question

In the diagram, Jorge let go of the string tied to his balloon. Write and solve anequation to find how far above Jorge's head the balloon is. Round your answer tothe nearest tenth if necessary.

Answer 1

We are to write and solve an equation to find how far above Jorge's head the balloon is;

To answer this question, we make use of Pythagoras' theorem.

`\begin{gathered} \text{Hyp}^2=Opp^2+Adj^2 \\ 95^2=x^2+80^2 \\ 9025=x^2\text{ + 6400} \\ 9025-6400=x^2 \\ 2625=x^2 \\ or \\ x^2\text{ = 2625} \\ x\text{ = }\sqrt[]{2625} \\ x\text{ = 51.2348} \\ x\text{ }=\text{ 51}.2\text{ yd (nearest tenth)} \end{gathered}`