A kite flier wondered how high her kite was flying. She used a protractor to measure an angle of 40 degrees from level ground to the kite string. If she used a full 120-yard spool of string, how high, in feet, was the kite? (Disregard the string sag and the height of the string reel above the ground.)

Round your answer to three decimal places.

Please help me

h/(120*3) = tan 40

now just evaluate

To find the height of the kite, we can use basic trigonometry. The angle between the ground and the kite string forms a right triangle, with the height of the kite representing the opposite side, and the length of the string representing the hypotenuse. We can use the tangent function to find the height.

First, let's convert the length of the string from yards to feet. Since 1 yard is equal to 3 feet, a 120-yard spool of string is equal to 120 x 3 = 360 feet.

Next, we can use the tangent function. The tangent of an angle is equal to the ratio of the opposite side to the adjacent side. In this case, the angle is 40 degrees, and the opposite side is the height of the kite.

So, we have tan(40 degrees) = height of the kite / 360 feet. We need to rearrange the equation to solve for the height of the kite.

height of the kite = tan(40 degrees) x 360 feet.

Now, let's calculate it using a scientific calculator or online calculator.

tan(40 degrees) = 0.83909963117 (rounded to 11 decimal places)

height of the kite = 0.83909963117 x 360 feet

height of the kite ≈ 301.076 feet (rounded to three decimal places)

Therefore, the height of the kite is approximately 301.076 feet.