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?

Question

asked May 21, 2023 82.1k views

1 Answer

Gtikok · Answer 1 · 2023-05-25T16:57:01+0000

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