a kite is attached to a string that is 15m long. If the string makes an angle of 26 degrees to the horizontal the height of the kite is.
Draw a rt. triangle:
X = Hor. side.
Y = Ver. side = Ht. of kite.
Z = Hyp. = 15 m.
A = 26 Deg.
Y = Z*sinA = 15*sin26 = 6.58 m.
a strong gust of wind blew the kite directly above a mountain the string attached to the kite is 350 ft the string now makes a 55 degree angle on the ground calculate the height of the kite
To find the height of the kite, we can use trigonometry.
Let's start by visualizing the situation. The kite is attached to a string, which makes an angle of 26 degrees with the horizontal. We want to find the height of the kite.
We can break down the string into two components: the horizontal component (adjacent side) and the vertical component (opposite side).
The horizontal component of the string can be calculated using the cosine function:
Horizontal component = Length of string * cosine(angle)
Plugging in the values:
Horizontal component = 15m * cosine(26 degrees)
Next, we can calculate the vertical component of the string using the sine function:
Vertical component = Length of string * sine(angle)
Plugging in the values:
Vertical component = 15m * sine(26 degrees)
Now that we have the vertical component, we have found the height of the kite.