Question

which equation would you use to find the distance to the iceberg?

o cos80° = 30/d
o tan80° = d/30
o tan80° = 30/d

Explanation:

Step1: Recall the trigonometric ratio for tangent

In a right - triangle, \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\).

Step2: Identify the sides and angle in the given problem

The height (opposite side) is \(30\) ft and the distance \(d\) (adjacent side) is the side we want to relate. The angle \(\theta = 80^{\circ}\).
Using the formula \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\), we substitute \(\theta = 80^{\circ}\), opposite \(=d\), adjacent \( = 30\). So, \(\tan80^{\circ}=\frac{d}{30}\)

Answer:

\(\tan80^{\circ}=\frac{d}{30}\) (the second option)