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A 12-foot ladder that is leaning against a wall makes a 75.5 degree angle with the level ground.


Which of the following equations can be used to determine the height y, above the ground, in feet, that the ladder touches the wall


A. Sin 75.5 = 12/y

B. Cos 75.5 = y/12

C. Sin 75.5 = y/12

D. Cos 75.5 = 12/y

Respuesta :

Answer:

C. Sin 75,5 = y/12

Step-by-step explanation:

This angle can be calculated using the law of sine:

sin(angle)=opposite cathete/hypothenuse

sin(angle)=wall/ladder

In this exercise we want to calculate the height of the ladder, so the equation is changed afterwards.

sin(angle)=wall/ladder

sin(75,5°)=12ft/y

batolisis

The height y above the ground in feet is ; (C ) sin 75.5 = y / 12

Determine the equation that can be used to determine y

The ladder, the horizontal ground and the vertical height above the ground form a right angle triangle are ;

The vertical height y = opposite

Length of ladder = hypotenuse

Horizontal ground  = adjacent.

According to trigonometry, sine of an angle is opposite/hypotenuse

sin 75.5 = y/12.

In conclusion, the height y above the ground in feet is sin 75.5 = y / 12.

learn more about right-angled triangle: brainly.com/question/20889881

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