How do you solve this? please help me guys!

Mathematics

2 answers:

ad-work [718]4 years ago

8 0

Hi!

Remember that whatever we do to this equation, we have to do it to both sides.

We have to isolate x on one side.
3y - 2 > 5
Add 2 to both sides
3y - 2 + 2 > 5 + 2
3y > 7
Divide by 3 on both sides
y > $\frac{7}{3}$
^ the answer

Hope this helps! :)

azamat4 years ago

6 0

3y -2 > 5
3y -2 +2 > 5+2
3y > 7
y > 7/3

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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

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

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

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