Mrs. O'Leary's cat is stuck in her backyard tree. A fireman positions a ladder against the tree branch and rescues the cat.?
Mrs. O'Leary's cat is stuck in her backyard tree. A fireman positions a ladder against the tree branch and rescues the cat. The ladder was extended to 22 feet, and made an angle of 62 degrees with the ground. What was the cat's vertical height in the tree.
Use picture please and include if it SOH, CAH, TOA in it!
Mrs. O'Leary's cat is stuck in her backyard tree. A fireman positions a ladder against the tree branch and rescues the cat. The ladder was extended to 22 feet, and made an angle of 62 degrees with the ground. What was the cat's vertical height in the tree.
Use picture please and include if it SOH, CAH, TOA in it!
1 Answer
Jun 8, 2018
Explanation:
A good idea is always to draw a sketch
The important thing to notice is the right angled triangle
We want to find the cats height, i.e. the length
We know the angle
So we need to use sine (SOH)
#sin(A)="Opposite"/"Hypotenuse"#
#=>"Opposite"=sin(A)*"Hypotenuse"#
Substituting the values
#BC=sin(62^@)*22~~19.42#
