In his garage, gerald is hoisting an engine from a pickup truck he is fixing. he hangs the hoist using three rafters on the garage ceiling. he measures the angle the hoist makes at the base to be 85 degree
To solve this problem, we can apply trigonometric principles. The angle you mentioned is the angle between the hoist and the ground. Let's call the angle "A." To find the angles between the hoist and the rafters, we can use the fact that the sum of the angles in a triangle is 180 degrees.
In this case, we have a triangle formed by the hoist and two of the rafters attached to the garage ceiling. Since there are three rafters, we have three triangles, and each triangle has angle A at the base.
Since we know that the sum of angles in a triangle is 180 degrees, we can divide that sum by 3 to find the angle between the hoist and each rafter:
Angle between hoist and rafter = 180 degrees / 3 = 60 degrees
Therefore, the angle between the hoist and each rafter is 60 degrees.
To summarize, in Gerald's garage, the angle between the hoist and the base is 85 degrees, and the angle between the hoist and each rafter is 60 degrees.