Leonorareed3355 Leonorareed3355
  • 12-11-2019
  • Mathematics
contestada

The steps of a stepladder rise at an incline of 60°. If the base of the ladder is 1.24m long, how tall is the stepladder?


Answer accurate to 1 decimal place

Respuesta :

windyyork windyyork
  • 13-11-2019

Answer: The height of stepladder is 2.5 m long.

Step-by-step explanation:

Since we have given that

Angle of elevation = 60°

Base of the ladder = 1.24 m

We need to find the height of stepladder.

We will use "cosine of a triangle":

[tex]\cos 60^\circ=\dfrac{1.24}{Hypotenuse}\\\\\dfrac{1}{2}=\dfrac{1.24}{Hypotenuse}\\\\hypotenuse=1.24\times 2\\\\hypotenuse=2.48\ m[/tex]

Hence, the height of stepladder is 2.5 m long.

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