Y is directly proportional to x and therefore takes the form y=kx where k is the constant of proportionality.
Dividing both sides by x for the given values, k becomes 18/4 = 4.5
Given:
A rope tied from a tent pole to a stake in the ground forms 55 degrees angle with the ground.
The pole is 3 feet from the stake.
To find:
The length of the rope to the nearest tenth of a foot.
Solution:
First draw a diagram according to the given information as shown below.
We know that, in a right angled triangle,
In triangle ABC,
Therefore, the length of the rope is 5.2 foot.