Question

how far is the base of the ladder from the bottom of the wall? 13.3 feet question 8 1 pts a plane must descend from a point 80 ft above the ground while 250 ft horizontally from the airport. what is the angle of descent (to the nearest tenth of a degree)?

Explanation:

Step1: Identify the trigonometric relationship

We have a right - triangle where the vertical side (opposite side to the angle of descent) \(y = 80\) ft and the horizontal side (adjacent side to the angle of descent) \(x=250\) ft. We use the tangent function \(\tan\theta=\frac{\text{opposite}}{\text{adjacent}}\). So, \(\tan\theta=\frac{80}{250}\).

Step2: Calculate the value of \(\tan\theta\)

\(\tan\theta=\frac{80}{250}=0.32\).

Step3: Find the angle \(\theta\)

We know that \(\theta=\tan^{- 1}(0.32)\). Using a calculator, \(\theta\approx17.7^{\circ}\)

Answer:

\(17.7\)