The vertical tent pole is supported by a rope of length 3.1 meter tied to the rope of the pole and to a peg on the ground. The makes and the angle of 63° with the horizontal. How height is the pole?
To solve this problem, we can use trigonometry. Let's use the sine function.
Let H be the height of the pole.
According to the problem, the length of the rope is 3.1 meters, and the angle it makes with the horizontal is 63°.
Using the sine function, we have:
sin(63°) = H/3.1
To find H, we can rearrange the equation:
H = 3.1 * sin(63°)
Using a calculator, we find:
H ≈ 2.88 meters
Therefore, the height of the pole is approximately 2.88 meters.