To solve for the missing value of the right triangle, we can use the trigonometric functions sine, cosine, and tangent.
Given:
Adjacent side = 26 cm
Hypotenuse = 53 cm
Let's find the opposite side using the sine function.
sin(angle) = opposite / hypotenuse
sin(angle) = opposite / 53
Rearranging the equation, we get:
opposite = sin(angle) * 53
Now, we need to find the angle. We can use the inverse sine function.
sin^(-1)(opposite / hypotenuse) = angle
Let's calculate the angle:
angle = sin^(-1)(26 / 53) ≈ 30.21 degrees (rounded to the nearest degree)
Now, let's solve for the opposite side:
opposite = sin(angle) * 53
opposite = sin(30.21) * 53
opposite ≈ 26.79 cm (rounded to the nearest tenth)
Therefore, the missing value, the length of the opposite side, is approximately 26.8 cm.
Using the info given, solve for the missing value of the right triangle. Round each angle to the nearest degree, each length to the nearest tenth, & each trigonometric value to four decimal places, if necessary.
Adjacent side = 26 cm
Hypotenuse = 53 cm
Opposite side = ?
1 answer