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3 years ago

10

-2/3x greater than or equal to 7

1 answer:

Romashka-Z-Leto [24]3 years ago

8 0

X = or > -21/2 with the problem.

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4 years ago

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$\bold{\huge{\orange{\underline{ Solution }}}}$

<h3><u>Given </u><u>:</u><u>-</u></h3>

<u>We </u><u>have </u><u>given </u><u>in </u><u>the </u><u>question </u><u>that</u><u>, </u><u> </u><u>Robin </u><u>is </u><u>flying </u><u>a </u><u>kite</u><u>. </u>
<u>She </u><u>ties </u><u>the </u><u>5</u><u>0</u><u> </u><u>foot </u><u>kite </u><u>string </u><u>to </u><u>the </u><u>ground </u><u>.</u>
<u>The</u><u> </u><u>kite </u><u>is </u><u>flying </u><u>at </u><u>4</u><u>0</u><u> </u><u>feet </u><u>high </u>

<h3><u>To </u><u>Find </u><u>:</u><u>-</u></h3>

<u>We </u><u>have </u><u>to </u><u>find </u><u>the </u><u>measure </u><u>of </u><u>the </u><u>angle </u><u>the </u><u>string </u><u>forms </u><u>with </u><u>the </u><u>group </u><u>that </u><u>is </u><u>angle </u><u>of </u><u>elevation</u><u>. </u>

<h3><u>Let's </u><u>Begin </u><u>:</u><u>-</u></h3>

<u>According </u><u>to </u><u>the </u><u>given</u><u> </u><u>question</u><u>, </u>

Hypotenuse AC ( Distance of string from the ground) = 50 ft.
Perpendicular height AB ( Distance of the kite from the ground) = 40 ft.

<h3><u>Therefore</u><u>, </u></h3>

<u>By </u><u>using </u><u>trigonometric </u><u>ratios</u><u>,</u><u> </u>

{ $\bold{\pink{ Sin Φ = }}{\bold{\pink{\dfrac{Perpendicular}{Hypotenuse }}}}$

$\bold{\red{ Cos Φ = }}{\bold{\red{\dfrac{Base}{Hypotenuse }}}}$

$\bold{\purple{ Sin Φ = }}{\bold{\purple{\dfrac{Perpendicular}{Base }}}}$ }

<u>The </u><u>Angle </u><u>of </u><u>elevation </u><u>will </u><u>be </u>

<u>[</u><u> </u><u>The </u><u>angle </u><u>that </u><u>is </u><u>formed </u><u>between </u><u>the </u><u>line </u><u>of </u><u>sight </u><u>and </u><u>base </u><u>of </u><u>the </u><u>triangle </u><u>is </u><u>called </u><u>angle </u><u>of </u><u>elevation </u><u>]</u>

$\bold{\pink{Sin Φ = }}{\bold{\pink{\dfrac{AB}{AC }}}}$

$\sf{ Sin Φ = }{\sf{\dfrac{40}{50 }}}$

$\sf{ Sin Φ = }{\sf{\dfrac{4}{5}}}$

$\sf{ Sin Φ = 0.8 }$

$\bold{\green{ Φ = 45.83° }}$

Hence, The measure of the angle the string forms with the ground is 45.83° .

7 0

2 years ago