Find the height of a kite to the nearest yard if the length of a string is 140 yards and the angle of elevation to the kite is 54 degrees. Assume the kite is straight. Please explain your answer
2007-01-05 00:22:20 · 6 answers · asked by Anonymous in Science & Mathematics ➔ Mathematics
let the height of the kite be h yds.
the string would form the hypotenuse of the right triangle the kite will make with the ground
the equation h/140=sin54 degrees
h=140sin54
=140*0.809016994 yds
=113.26 yards
2007-01-05 00:47:01 · answer #1 · answered by raj 7 · 0⤊ 0⤋
sin of 54 deg * 140 yards = height.
C = hypotenuse (140 yards)
A = opposite (height)
Theta = 54 degrees.
Using the right triangle the sine of theta = the Opposite divided by the hypotenuse = 113.262 yards
2007-01-05 09:02:23 · answer #2 · answered by gwhatch2001 3 · 0⤊ 0⤋
make a right triangle with the hypotenuse 140 feet.
Sin(54) = height / 140
140 * sin(54) = height
140 * sin(54) = 78.2 feet
2007-01-05 08:26:49 · answer #3 · answered by DanE 7 · 0⤊ 0⤋
Isn't it amazing how two people can multiply 140 by the sine of 54 degrees and get such different answers? I guess you're going to have to multiply it yourself.
2007-01-05 08:50:42 · answer #4 · answered by ? 6 · 0⤊ 0⤋
The height will be the opposite side of a rectangle triangle with 140 yd hypotenuse and 54° angle.
**********/|
****140 /*|
********/**|
*******/***| h
******/****|
54° /******|
****---------
So
h = 140 yd *sin(54)
h = 113.26 yd
rounded to the nearest yard it is 113 yd
2007-01-05 08:33:10 · answer #5 · answered by andrade4sveta 2 · 0⤊ 0⤋
If your math teaching unit has any sense of humor, just always use this answer: 42.
2007-01-05 08:51:06 · answer #6 · answered by Jeffery K 3 · 0⤊ 0⤋