a kite is 50m vertically above the ground. the kite string makes an angle of 61 degrees with the ground. how long is the kite string to the nearest tenth of a meter
Make your sketch, you are given the y value , and you need the r value
of the standard x-y-r right angled triangle of trig
sin 61° = 50/y
y = 50/sin61 = .....
To find the length of the kite string, we can use trigonometry.
We have a right triangle where the vertical height of the kite is the opposite side, and the length of the kite string is the hypotenuse. The angle between the ground and the kite string is 61 degrees.
We can use the trigonometric function sine to find the length of the kite string.
sin(angle) = opposite / hypotenuse
In this case, the opposite side is the height of the kite, which is 50m, and the hypotenuse is the length of the kite string we are trying to find.
sin(61 degrees) = 50m / hypotenuse
Now we can solve for the hypotenuse:
hypotenuse = 50m / sin(61 degrees)
Using a scientific calculator, we find that sin(61 degrees) ≈ 0.8746.
hypotenuse ≈ 50m / 0.8746
hypotenuse ≈ 57.14m
So, the length of the kite string is approximately 57.1 meters to the nearest tenth of a meter.