Question

john wants to build a slide for his daughter's tree house. the slide is made from aluminum material that is cut from a roll. The aluminum materials is sold by the foot. The tree house is 6 feet off the ground and he wants the slide to be built at a 60 angle . triangle PQR is a right triangle.
Will reward brainliest please show all work

Answer 1

Answer:7 ft

Step-by-step explanation:

Given

Height of tree house is $6\ ft$

inclination of slide $\theta =60^{\circ}$

In $\triangle PQR$ we can write

$\sin \theta =\frac{PQ}{PR}$

$\sin 60=\frac{6}{PR}$

$PR=\frac{6}{\sin 60^{\circ}}$

$PR=\frac{6\times 2}{\sqrt{3}}$

$PR=6.928\approx 7\ ft$

So, $7 \ft$ of aluminium is required for slide