A kite is attached to a string. Find the length of string,when the height of the kite is 60m and the string makes the angle 30 degree with the ground.
60/x = sin30°
To find the length of the string, we can use trigonometry.
Let's assume the length of the string is represented by "x". The height of the kite is given as 60m.
Using trigonometry, we know that the opposite side of a right triangle is the side opposite to the angle we are given (in this case, the height of the kite), and the hypotenuse is the longest side of the triangle (in this case, the length of the string).
We can use the sine function, which relates the opposite side to the hypotenuse:
sin(angle) = opposite / hypotenuse
In this case, the angle is 30 degrees and the opposite side is 60m (the height of the kite). We want to find the hypotenuse (the length of the string).
Let's plug in the values into the formula:
sin(30 degrees) = 60m / x
To solve for "x", we can rearrange the formula:
x = 60m / sin(30 degrees)
Now, we can calculate the value of "x" using a calculator:
x = 60m / 0.5
x = 120m
So, the length of the string is 120 meters when the height of the kite is 60 meters and the string makes an angle of 30 degrees with the ground.