your cat is trapped on a tree branch 6.5 meters above the ground. your ladder is only 6.7 meters long, if you place the ladders tip on the branch, what angle will the ladder make with the ground?
please and thank you!
2007-05-23 10:28:25 · 4 answers · asked by leslie g 3 in Science & Mathematics ➔ Mathematics
The ladder's 6.7 meters is the hypotenuse.
The branch's 6.5 meters height is the opposite side from the angle of the ladder.
opp/hyp = sin (A)
Therefore, the the arcsin of (opp/hyp)
A = arcsin (6.5/6.7)
A = arcsin (.970)
A = 75.97 degrees.
2007-05-23 10:34:37 · answer #1 · answered by Bob G 6 · 0⤊ 0⤋
Use the pythagorean theorem
a2+b2=c2
a2+6.5^2=6.7^2
a2=2.64
a=1.62
2007-05-23 17:32:10 · answer #2 · answered by samswebsite 4 · 0⤊ 1⤋
x = angle
6.5/6.7 = sinx
x = arcsin 6.5/6.7 = 75.9 degrees
2007-05-23 17:55:34 · answer #3 · answered by ironduke8159 7 · 0⤊ 0⤋
draw a picture.
|\
|..\
|.....\
|.......\
|.........\ 6.7
|6.5...... \
|..............\
|...............\
|__X______\
This is a rough picture. First use SohCahToa to find the formula. Using the angle of theta, you would get- sin(theta)=(6.5)/(6.7)
this equals------> 75.9653520
so the angle is 75.97 degrees. or 1.3 radians
2007-05-23 17:45:04 · answer #4 · answered by Kitty 2 · 0⤊ 0⤋