Question

one acute angle of a right triangle measures 28 degrees to the nearest tenth what is the length of the side oppposite that angle if the hypotenuse measures 16 meters

Answer 1

One acute angle of a right triangle measures 28 degrees. To the nearest tenth what is the length of the side opposite that angle if the hypotenuse measures 16 meters

Solution:

By the definition:

$$\frac {A B}{B C} = \frac {x}{B C} = \sin \alpha .$$

So we have

$$x = B C \cdot \sin \alpha = 16 \cdot \sin 28{}^\circ \approx 7,5 \, (m).$$

Answer:

7,5 m.