Answer:
A. 871.97 m
Step-by-step explanation:
Model this is a right triangle.
Use the sine trigonometric ratio to find the height of the weather balloon from the ground.
Sine trigonometric ratio
[tex]\sf \sin(\theta)=\dfrac{O}{H}[/tex]
where:
- [tex]\theta[/tex] is the angle
- O is the side opposite the angle
- H is the hypotenuse (the side opposite the right angle)
Given:
- [tex]\theta[/tex] = 33°
- O = height
- H = 1601 m
Substitute the given values into the formula and solve for O:
[tex]\implies \sf \sin(33^{\circ})=\dfrac{height}{1601}[/tex]
[tex]\implies \sf height=1601\sin(33^{\circ})[/tex]
[tex]\implies \sf height=871.97\:m\:\:(nearest\:hundredth)[/tex]
