Question

Jaime is playing disc golf. He is standing across a creek from the basket at a 60° angle.

Which equation can be used to find the distance, r, between him and the basket if he were to walk 5 more meters?
A.Cos60=r/5m
B.tan60=r/5m
C.tan60=5m/r
D.sin60=5m/r

Answer 1

The equation used to find the distance, r, between him and the basket is:

`tan\ 60 = (r)/(5)\ meters`

Solution:

Given that,

Jaime is playing disc golf

He is standing across a creek from the basket at a 60° angle

Let "r" be the distance between him and the basket

The figure is attached below

From figure, it is a right angled triangle

By definition of tan,

`tan\ 60 = (opposite)/(adjacent)`

From figure,

opposite = r

adjacent = 5 m

`tan\ 60 = (r)/(5)`

Thus the equation used to find the distance, r, between him and the basket is found