A tower that is 111 feet tall casts a shadow 126 feet long. find the angle of elevation of the sun to the nearest degrre

1 answer:

3 0

The angle here is an acute angle at ground level. Then the side adjacent to this angle is 126 feet. The opp. side is the tower, 111 feet tall.

Then

tan theta = opp / adj = 111 / 126. Using the inverse tangent function, we find that the measure of the angle is 0.722 radian or 41 degrees (to the nearest degree).

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The amount of water in a bathtub as it drains can be modeled by this equation with y representing the number of gallons of water

zvonat [6]

Given function:
y=-7.3x+39.7
Where y= number of gallons of water
and x= number of minutes
Put value of y=17.8 gallons and solving for x.
17.8=-7.3x+39.7
Subtract 39.7 from both sides
-21.9=-7.3x
Divide both sides by -7.3
3=x
or
x=3 minutes
After 3 minutes the water in the tub will be 17.8 gallons.

Answer: 3 minutes

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3 years ago

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mrs_skeptik [129]

Given:

Line a passes through (2, 10) and (4, 13).

Line b passes through (4, 9) and (6, 12).

Line c passes through (2, 10) and (4, 9).

To find:

Which of the lines, if any are perpendicular.

Solution: