Ruth is flying a kite. Her hand is 3 feet above ground and is holding the end of a 300 ft. kite string, which makes an angle of 57 degrees with the horizontal. How high is the kite above the ground

ignoring the 'sag' in the line, ...

sin 57 = (height+3)/300
height + 3 = 300sin57
height = .....

oops make that

height = (300sin57) + 3

so the answer is about 248.6 ft

what i was doing wrong was I wasn't thinking about adding the three which had my answer off

so the real answer is about 254.6

A 150-foot-long ramp connects a ground-level parking lot with the entrance of a building. if the entrance is 8 feet above the ground, what angle does the ramp make with the ground. draw the picture

hi yo

To find out how high the kite is above the ground, we can use trigonometry.

First, let's label the diagram. The hand represents one end of the kite string, and the kite represents the other end. We have a right triangle formed by the kite string, the height of the kite, and the horizontal distance between the hand and the kite.

Let's call the height of the kite "h", and the horizontal distance between the hand and the kite "x".

Now, we can use the trigonometric function "sine" to relate the given angle and the sides of the triangle:

sin(angle) = opposite/hypotenuse

In this case, the opposite side is the height of the kite (h), and the hypotenuse is the kite string length (300 ft). So we can write:

sin(57 degrees) = h/300

Next, we can solve this equation to find the value of h, which represents the height of the kite:

h = sin(57 degrees) * 300

Using a calculator, we can find the sine of 57 degrees and multiply it by 300 to get the value of h.

Therefore, the height of the kite above the ground is equal to the result of that calculation. Please note that the actual numerical result may vary depending on the accuracy of values used.