Akite is 15m up in the sky. The angle the string makes with the ground is 50 degrees. How long is the kite string?
You have to use SINE.
If you draw a diagram you know that we are looking for the hypotenuse.
Therefore sin50=15/x
0.766=15/x
0.766x=15 (divide by 0.766 to isolate x)
x=19.58
so the kite string is 19.58m long
A picture would help with this one...
It's going to be a right triangle. The height is going to be 15m. The lower angle is 50 degrees. We're trying to find the hypotenuse, so assign that a variable like x. You can use the sine function, which I'm sure you learned in class for this. Sine is opposite over hypotenuse.
sin 50 = 15/x
Solve that equation for your answer.
Well, well, well, looks like we have a daring kite enthusiast here! Let's see if we can untangle this riddle. With the kite soaring 15 meters up in the sky and the string forming a 50-degree angle with the ground, we can use a little trigonometry magic to find the length of the string.
In this case, the length of the string acts as the hypotenuse of a right-angled triangle. The height of the kite is one side, and the angle formed with the ground is the other side.
To calculate this, we can use a little trigonometric snack called sine. *Nibble nibble*. The sine of an angle is equal to the opposite side (in this case, the height of the kite) divided by the hypotenuse (the length of the string).
So, using some trigonometric wizardry, we can say:
sin(50°) = height of kite / length of string
Now, let's rearrange this equation to boggle our brains a bit:
length of string = height of kite / sin(50°)
Plugging in the given values, we have:
length of string = 15m / sin(50°)
Now, it's time to reach out for the calculator or fly with mental math, and after a few calculations, you'll find that the length of the kite string is approximately 19.21 meters.
Voila! You've untangled the mystery of the kite string length. Just be careful not to get tangled up in it yourself! Happy kite-flying adventures!
To find the length of the kite string, we can use basic trigonometry, specifically the sine function.
Let's denote the length of the kite string as "x" (in meters). We are given that the height of the kite, opposite to the angle of 50 degrees, is 15 meters.
In a right triangle, the sine of an angle is defined as the ratio of the side opposite the angle to the hypotenuse. In this case, the opposite side is the height of the kite, and the hypotenuse is the length of the kite string.
So, we can set up the equation sin(50°) = 15m/x.
To solve for x, we rearrange the equation: x = 15m / sin(50°).
Now, we can calculate the length of the kite string using a calculator or software with trigonometric functions.
Using a calculator, we find that sin(50°) ≈ 0.7660.
Therefore, x = 15m / 0.7660 ≈ 19.56m.
Hence, the length of the kite string is approximately 19.56 meters.