elianaaguirre118 elianaaguirre118
  • 22-02-2022
  • Mathematics
contestada

9) The length of the shorter leg of a 30° -60° - 90° triangle is 24 meters. Find the length of the hypotenuse.
​

Respuesta :

Hrishii
Hrishii Hrishii
  • 22-02-2022

Answer:

48 meters

Step-by-step explanation:

Shorter leg will be the side opposite to the angle measuring 30°. Using sin trigonometric ratio the length of hypotenuse can easily be obtained.

[tex] \sin 30 \degree = \frac{length \: of \: shorter \: leg}{length \: of \: hypotenuse} \\ \\ \implies \: \frac{1}{2} = \frac{24}{l(hypotenuse)} \\ \\ \implies \: {l(hypotenuse)} =2 \times 24 \\ \\ \implies \: {l(hypotenuse)} =48 \: m[/tex]

Answer Link

Otras preguntas

| y + 2 | = 8 Please i need help idk how to solve this equation
“The sum of half a number and 12 is 6”
what is corn syrup made of?
What is the rate of change from [-1,4]?
What technological innovations contributed to the high death tolls during World War I?​
What are the five basic requirements necessary to establish a government.
What experiences helped Columbus prepare for the journey across the Atlantic? He lived in small, peaceful farming communities. For weeks he and his men struggle
A large spring requires a force of 150 N to compress it only 0.010 m. What is the spring constant of the spring?
What are Charlie and Sophie visiting today? a palace a museum a harbor an observatory
evaluate the expression 8 over d plus 3 when d equals 4 ​