Which description best fits the graph?

If the minute hand moves 30 degrees how much time has moved

Levart [38]

Has moved 30 minutes

4 0

3 years ago

What is the definition of line segment?

Snezhnost [94]

In geometry, a line segment is a part of a line that is bounded by two distinct end points, and contains every point on the line between its endpoints. A closed line segment includes both endpoints, while an open line segment excludes both endpoints; a half-open line segment includes exactly one of the endpoints.

6 0

4 years ago

A pilot is traveling at a height of 30,000 feet above ground she looks down at a angle of depression of 6 and spots runway as me

sukhopar [10]

Distance between runway and pilot position along the ground is 285430.9336 feet that is 53.9464 miles.

<h3>Solution:</h3>

Given that

Height of position of pilot from the ground = 30000 feet

Angle of depression when he looks down at runway = 6o

Need to measure along the ground, distance between runway and pilot that is horizontal distance between runway and pilot.

Consider the figure attached below

D represents position of runway.

P represents position of pilot.

PG represents height of position of pilot from the ground that means PG = 30000 feet

PH is virtual horizontal line and HPD is angle of depression means ∠ HPD = 6 degree

AS DG and HP are horizontals, so DG is parallel to HP.

=> ∠ HPD =∠ PDG = 6 degree [ Alternate interior angle made by transversal PD of two parallel lines ]

We need to calculate DG

Consider right angles triangle PGD right angles at G

$\text {As } \tan x=\frac{\text { Perpendicular }}{\text { Base }}$

$\tan \angle \mathrm{PDG}=\frac{\mathrm{PG}}{\mathrm{GD}}$

$\begin{array}{l}{=>\mathrm{GD}=\frac{\mathrm{PG}}{\tan \angle \mathrm{PDG}}} \\\\ {=>\mathrm{GD}=\frac{30000}{\tan 6^{\circ}}=285430.9336}\end{array}$