Question

Find the lengths of the hypotenuse and the longer side in a 30 60 90 triangle where the short side is 7 m.

Answer 1

Answer:12.12 m, 14 m

Explanation:

Given

length of the short side is 7 m

`30^(\circ)` angle must correspond to the short side and
`60^(\circ)` angle must correspond to the longer side of the triangle

from the figure, we can write

`\Rightarrow \tan 60^(\circ)=(L)/(7)\\\Rightarrow L=7\tan 60^(\circ)=12.124\ m`

Also,

`\Rightarrow \cos 60^(\circ)=(7)/(H)\\\Rightarrow H=7*2=14\ m`