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.

Respuesta :

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]

Ver imagen nuuk
Answer Link

Otras preguntas

why does the earth not lose its heat as quickly at night as the moon does?
one number is 6 more than another.  Their product is is 520.  Find the numbers
How do you do y divided by 9=12?
How do you do y divided by 9=12?
Where are most faults located? And what is a fault in science terms?
Where are most faults located? And what is a fault in science terms?
a population decrease from 404 million to 288 million .which of the following is the percent decrease of the population
why does the earth not lose its heat as quickly at night as the moon does?
What is 32 over 48 simplified and with what numbers
a population decrease from 404 million to 288 million .which of the following is the percent decrease of the population