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

Please help quick!!!
18. Learn: Promoting Development Categorize Use the graphic organizer to categorize what you have learned about the factors affecting development. Factors Affec
x3+y3+z3=k, is this correct
Writing Linear Equations
axis of symmetry f(x) = −4(x − 8)^ 2 + 3
Complete the table for this equation. y = 4x Enter your answers by filling in the boxes. x y 1 2 3 4 5
3. Discuss the ways in which eukaryotic pre-mRNA is processed before it reaches the nbosome
When companies compete in a market economy, what is usually the result? a)Consumers are able to buy goods for the best available price. b)People pay much higher
Express in the form n : 1. Give n as a fully simplified fraction. 10 : 12
Which statement describes a social risk factor for depression? Fabian feels excluded from a group of coworkers. Julia found out her very close relative passed a