Q081 - Physics For Engineers And Scientists - Solutions
 ON7AMI Amateur Radio, Meteology and Astronomy website. JO10UX

# Question 81 - Review - Chapter 1¶

## Problem:¶

A small single-engine plane is flying at 5000m height and at an horisontal distance of 18 km from the airport of San-Francisco when the engine quits. The pilot knows that without engine he can glida at an downward angle of 15 degrees.

## Question:¶

Can the pilot reach the airport?

## Solution:¶

At a gliding scope of 15° (angle a) the maximal distance the plane kan reach is:

\begin{align*} & MaxDistance = \frac{\cos{a} * Height}{\sin{a}} \end{align*}

In [1]:
# Calculations
import numpy as np
Height = 5000
a = 15
a_rad = (15/180) * np.pi

The Maximal Distance is 18660 m -or- 18.7 km