Question

what is measure of the angle of elevation from the dogs nose to the plane? 86.3° 56° 59.6° 57.5° 55.8°

Explanation:

Step1: Recall the tangent function

In a right - triangle, \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\). Here, the opposite side to the angle of elevation \(\theta\) is \(11\) and the adjacent side is \(7\). So, \(\tan\theta = \frac{11}{7}\).

Step2: Calculate the angle

We know that \(\theta=\arctan(\frac{11}{7})\). Using a calculator, \(\theta=\arctan(1.5714)\approx57.5^{\circ}\)

Answer:

\(57.5^{\circ}\)