Question

NEED HELP ASAP
the angle of elevation from the far side of the pool to the top of the waterfall is 54 degrees and the distance is 230 ft. Find x

Answer 1

Answer:

(Use right triangle)

1) find the height of the waterfall (opposite side) to the nearest foot.

draw the triangle.  distance from  far side of the pool to the top of the waterfall is the hypotenuse given to be 230.

sinx = opp/hyp

sin54 = opp/230

opp = 230sin54

opp = approx 186 ft

2) find the width across the pool (adjacent side) to the nearest foot.

cosx = adj/hyp

cos54 = adj/230

adj = 230cos54

adj = approx 135 ft

Answer: 135 ft

Answer 2

The value of x is 135.2 feet.

To understand more, check below explanation.

Angle of elevation:

From given figure,

It is observed taht, a right angle triangle is formed in the given figure.

Angle of elevation = 54 degree

Hypotenuse  = 230 feet

We have to find base i.e x

Apply cosine of angle,

               $cos (54)=\frac{x}{230}\\ \\x=230*cos(54)\\\\x=230*0.587\\\\x=135.2ft$

Hence, the value of x is 135.2 feet.

Learn more about the angle of elevation here:

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