Question

A hockey player takes a shot 20 feet away from a 5-foot goal. If the puck travels at a 15° angle of elevation toward the center of the goal, will the player score?

Answer 1

EXPLANATION

Let's see the facts:

shoot = 20 feet

goal = 5 foot

Let's draw the statement:

Since we are finding the side opposite the given angle and know the side adjacent, we can use the Pythagoras Theorem to find the needed value.

`\text{Tan=}\frac{Opposite}{\text{Adjacent}}`

Replacing terms:

`\text{Tan 15}=(x)/(20)`

Isolating x:

`20\cdot\text{Tan 15= x}`

Switching sides and simplifying:

`x=5.35\approx5.4`

The player will not score because 5.4 is greater than 5