Question

A pilot and co-pilot are performing a test run in a new airplane. The pilot is required to take off and fly in a straight path at an angle of elevation that is between 33° and 35° until the plane reaches an altitude of 10,000 feet. When the plane reaches 10,000 feet, the co-pilot will take over. Round each distance to the nearest tenth.

Answer 1

Using the slope concept, it is found that:

• The minimum horizontal distance is of 14,281.5 feet.

• The maximum horizontal distance is of 15,398.6 feet.

What is a slope?

• The slope is given by the vertical change divided by the horizontal change.

• It's also the tangent of the angle of depression.

In this problem, the vertical change is the altitude of 10,000 feet.

The minimum horizontal distance is with an angle of 35º, hence:

$\tan{35^{\circ}} = \frac{10000}{d}$

$d = \frac{10000}{\tan{35^{\circ}}}$

$d = 14281.5$

The maximum horizontal distance is with an angle of 33º, hence:

$\tan{33^{\circ}} = \frac{10000}{d}$

$d = \frac{10000}{\tan{33^{\circ}}}$

$d = 15398.6$

You can learn more about the slope concept at https://brainly.com/question/22568180