A 16-foot ladder is leaning against a building at a 71 degree angle to the ground.
Which equation can be used to find how high the ladder reaches up the side of the building?
A) sin (71) = 16/x
B) tan (71) = 16/x
C) cos (71) = x/16
D) sin (71) = x/16

The ladder forms a right angle triangle with the building and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height from the top of the ladder to the base of the building represents the opposite side of the right angle triangle.

The distance from the bottom of the ladder to the base of the building represents the adjacent side of the right angle triangle.

To determine how high the ladder reaches up the side of the building x, we would apply the Sine trigonometric ratio.

Sin θ, = opposite side/hypotenuse. Therefore, the equation that can be used is

Sin 71 = x/16

A 16-foot ladder is leaning against a building at a 71 degree angle to the ground. Which equation can be used to find how high the ladder reaches up the side of the building? A) sin (71) = 16/x B) tan (71) = 16/x C) cos (71) = x/16 D) sin (71) = x/16

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A 16-foot ladder is leaning against a building at a 71 degree angle to the ground.
Which equation can be used to find how high the ladder reaches up the side of the building?
A) sin (71) = 16/x
B) tan (71) = 16/x
C) cos (71) = x/16
D) sin (71) = x/16