Chapter Closure
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Use the sine ratio.
Use the tangent ratio.
Use the cosine ratio.
Use the Pythagorean Theorem.
Use the tangent ratio.
Use the sine ratio.
Use the cosine ratio.
x≈ 5.176 m
x≈ 18.66 in
θ ≈ 24.62^(∘)
x ≈ 13.416 ft
x ≈ 32^(∘)
θ ≈ 53.1^(∘)
y ≈ 25.8^(∘)
We have been given the angle and hypotenuse, and we want to determine the opposite leg labeled x. Given this information, we have to use the sine ratio to calculate x.
Substitute values
LHS * 20=RHS* 20
Rearrange equation
Use a calculator
Round to 3 decimal place(s)
The side labeled x is about 5.176 meters.
We have been given the angle and opposite leg and want to determine the adjacent leg labeled x. Given this information, we have to use the tangent ratio to calculate x.
The side labeled x is about 18.66 inches.
We have been given the hypotenuse and adjacent leg to an unknown angle labeled θ. Given this information, we have to use the cosine ratio to calculate θ.
The angle labeled θ is about 24.62^(∘).
Since we know both legs of the right triangle, we can use the Pythagorean Theorem to find the hypotenuse.
The hypotenuse is about 13.416 feet
We have been given the adjacent and opposite leg of the angle labeled x. Given this information, we have to use the tangent ratio to calculate x.
The angle labeled x is about 32^(∘).
We have been given the hypotenuse and opposite leg of the angle labeled θ. Given this information, we have to use the sine ratio to calculate x.
The angle labeled θ is about 53.1^(∘).
We have been given the hypotenuse and adjacent leg of the angle labeled y. Given this information, we have to use the cosine ratio to calculate x.
The angle labeled y is about 25.8^(∘).