To find the length of the rope, we can use the sine function since we have the angle and the opposite side (15 meters).
sin(55 degrees) = opposite/hypotenuse
sin(55 degrees) = 15/hypotenuse
hypotenuse = 15/sin(55 degrees)
hypotenuse ≈ 18 meters
Therefore, the length of the rope is approximately 18 meters.
Suppose that you are watching the tree warden trim branches from a large tree in your yard. He has climbed up 15 meters and his assistant is holding a rope that will be used to guide the branch when it falls. To the nearest meter, how long is the rope?
An illustration shows a ladder placed against a tree at a height of 15m to form a right triangle with the tree.A person is standing at the bottom of the ladder where the hypotenuse of the triangle is located. A second person is shown on a tree branch at the top of the triangle with a dotted vertical line underneath. The angle between the dotted line and hypotenuse is 55 degrees.
18
26
10
40
1 answer