Question

how far from the skydiving center did stella land? round your final answer to the nearest hundredth.
kilometers

Explanation:

Step1: Identify the triangle type

This is a right - triangle problem, where the hypotenuse is the distance of the skydive (2.1 km) and we need to find the adjacent side to the 37° angle (distance from landing point to skydiving center). We use the cosine function, which is defined as $\cos(\theta)=\frac{\text{adjacent}}{\text{hypotenuse}}$.

Step2: Apply the cosine formula

Let $d$ be the distance from the skydiving center to the landing point. We know that $\cos(37^{\circ})=\frac{d}{2.1}$. So, we can solve for $d$ by multiplying both sides of the equation by 2.1: $d = 2.1\times\cos(37^{\circ})$.
We know that $\cos(37^{\circ})\approx0.7986$. Then $d=2.1\times0.7986 = 1.67706$.

Step3: Round to the nearest hundredth

Rounding 1.67706 to the nearest hundredth, we look at the thousandth place (7). Since 7 > 5, we round up the hundredth place. So, 1.67706≈1.68.

Answer:

1.68