Question

At a goofy golf course, I need to hit my golf ball into a clown’s mouth that is 3.5 feet above the green. If I am 6.2 feet from the clown cutout, what should my angle of elevation be for the golf ball?

a. 29.4 degrees
b. 60.6 degrees
c. 55.6 degrees
d. 34.4 degrees

Answer 1

The answer is the the option a: a.
`29.4 degrees`

The explanation for this problem is shown below:

1. You have that the clown’s mouth is
`3.5 ft` above the green and the person is
`6.2 ft` from the clown. Therefore, you have:

`Tan^(-1)(\alpha )=(opposite)/(adjacent)`

The opposite side is
`3.5 ft` and the adjacent side is
`6.2 ft`

2. Now, you can substitute the values and calculate the angle
`\alpha`:

`Tan^(-1)(\alpha )=(3.5)/(6.2)\\\alpha =29.4degrees`