Question

what is measure of the angle of elevation from the dogs nose to the plane? 63.9° 64.5° 61.4° 62.6° 104.4°

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 \(6\). So, \(\tan\theta = \frac{11}{6}\).

Step2: Calculate the angle

We know that \(\theta=\tan^{- 1}(\frac{11}{6})\). Using a calculator, \(\tan^{-1}(\frac{11}{6})\approx61.4^{\circ}\) (rounded to one decimal place).

Answer:

\(61.4^{\circ}\)