Igor is flying a kite. he has let out 300 feet of kite string. the string makes an angle of 64 degrees with the level ground. To the nearest foot, how high is his kite?
269.64
well, if the string is straight then
height/length = sin 64
height = 300 sin 64
To find the height of the kite, we can use the trigonometric functions.
Let's assume that the height of the kite is represented by "h."
In this case, the adjacent side is the ground, which is known to be 300 feet.
The angle between the ground and the string is given as 64 degrees.
Using the trigonometric function tangent (tan), we can write the following equation:
tan(64°) = h / 300
Rearranging the equation to solve for h, we have:
h = 300 * tan(64°)
Now, we can calculate the value of h using a calculator:
h ≈ 673.4 feet
Therefore, to the nearest foot, the height of the kite is 673 feet.
To find the height of the kite, we can use trigonometric functions.
In this case, we can use the sine function because we have the length of the string (hypotenuse) and the angle from the ground (opposite side).
The sine function is defined as follows: sin(angle) = opposite/hypotenuse
Let's label the height of the kite as 'h' (opposite side) and the length of the string as 300 feet (hypotenuse).
Now, we can apply the sine function to find the height of the kite:
sin(64 degrees) = h/300
To solve for 'h', we can rearrange the equation as follows:
h = sin(64 degrees) * 300
Using a calculator, we find that sin(64 degrees) is approximately 0.8988.
Now, we can substitute the value of sin(64 degrees) into the equation:
h = 0.8988 * 300
Calculating the value, we get:
h ≈ 269.64 feet
So, to the nearest foot, the height of Igor's kite is approximately 270 feet.