Question

Please and Thank you!

Answer 1

Use sine

• sin33=Perpendicular/Hypotenuse
• sin33=P/1601
• P=1601sin33
• P=871.97ft

Answer 2

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

$\sf \sin(\theta)=\dfrac{O}{H}$

where:

• $\theta$ is the angle
• O is the side opposite the angle
• H is the hypotenuse (the side opposite the right angle)

Given:

• $\theta$ = 33°
• O = height
• H = 1601 m

Substitute the given values into the formula and solve for O:

$\implies \sf \sin(33^{\circ})=\dfrac{height}{1601}$

$\implies \sf height=1601\sin(33^{\circ})$

$\implies \sf height=871.97\:m\:\:(nearest\:hundredth)$