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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?

Respuesta :

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.

[tex]\text{Tan=}\frac{Opposite}{\text{Adjacent}}[/tex]

Replacing terms:

[tex]\text{Tan 15}=\frac{x}{20}[/tex]

Isolating x:

[tex]20\cdot\text{Tan 15= x}[/tex]

Switching sides and simplifying:

[tex]x=5.35\approx5.4[/tex]

The player will not score because 5.4 is greater than 5

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