AutinVk4299 AutinVk4299
  • 19-03-2021
  • Mathematics
contestada

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

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nuuk nuuk
  • 20-03-2021

Answer:12.12 m, 14 m

Step-by-step explanation:

Given

length of the short side is 7 m

[tex]30^{\circ}[/tex] angle must correspond to the short side and [tex]60^{\circ}[/tex] angle must correspond to the longer side of the triangle

from the figure, we can write

[tex]\Rightarrow \tan 60^{\circ}=\frac{L}{7}\\\Rightarrow L=7\tan 60^{\circ}=12.124\ m[/tex]

Also,

[tex]\Rightarrow \cos 60^{\circ}=\frac{7}{H}\\\Rightarrow H=7\times2=14\ m[/tex]

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