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

User Stanislav Ivanov
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1 Answer

18 votes
18 votes

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

Find the lengths of the hypotenuse and the longer side in a 30 60 90 triangle where-example-1
User Ehsan Khaveh
by
2.6k points