A shirt cost $45.00. It is on sale 30% off. What is the amount of money you will save?

Mathematics

2 answers:

tigry1 [53]3 years ago

6 0

Answer:

Step-by-step explanation:

45 x 30% = $13.5 is saved

mash [69]3 years ago

5 0

Answer: You will save $13.5

Step-by-step explanation: We all know that $45.00= 100% of the money do 45.00 x 30= 1350 and divide 100= $13.5

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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><u>Solution:</u></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

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

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

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