Question

A golfer hits her ball a distance of 127 m so that it finishes 31 m from the hole. If the length of the hole is 150 m, calculate the angle between the line of her shot and the direct line to the hole.

Answer 1

Answer on question 36234 – Math – Geometry

A golfer hits her ball a distance of $127\mathrm{m}$ so that it finishes $31\mathrm{m}$ from the hole. If the length of the hole is $150\mathrm{m}$ , calculate the angle between the line of her shot and the direct line to the hole.

Solution

Using the cosine theorem we obtain

$$3 1 ^ {2} = 1 2 7 ^ {2} + 1 5 0 ^ {2} - 2 * 1 2 7 * 1 5 0 * \cos x$$ $$\cos x = \frac {9 6 1 - 1 6 1 2 9 - 2 2 5 0 0}{- 3 8 1 0 0} \approx 0. 9 8 8 6 6$$ $$x \approx 8. 6 3 \text { degrees}.$$

Answer: 8.63 degrees.