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Harlamova29_29 [7]

3 years ago

7

Please explain how to get the answer, with step by step explination. I would like to know, so I can do it by my self in the futu

re.

1 answer:

natulia [17]3 years ago

4 0

Answer:

(-8, 135°)

Step-by-step explanation:

(8, -45°) has magnitude 8 and direction -45°.

If we add 180° to the direction and change the sign of the magnitude, we'll have the same point.

(-8, -45° + 180°) = (-8, 135°)

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Ber [7]

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

$\bold{\underline{ We \: have \:given \: that, }}$

<u>Distance </u><u>between </u><u>the </u><u>house </u><u>and </u><u>tower </u><u>is </u><u>3</u><u>5</u><u> </u><u>m</u>
<u>The </u><u>height </u><u>of </u><u>the </u><u>tower </u><u>is </u><u>6</u><u>0</u><u> </u><u>m </u>
<u>The </u><u>height </u><u>of </u><u>the </u><u>house </u><u>is </u><u>2</u><u>5</u><u> </u><u>m</u>

$\bold{\underline{ Now}}$

<u> </u><u>Height</u><u> </u><u>of </u><u>the </u><u>house </u><u>is</u><u> </u><u>2</u><u>5</u><u>m</u>

$\bold{\underline{ So, }}$

$\sf{ CE = 25m }$

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

$\sf{ AB = AD - CE }$

$\sf{ AB = 60 - 25 }$

$\sf{ AB = 35 m }$

<u>Now</u><u>, </u><u> </u><u>In </u><u>Right </u><u>angled </u><u>ABC</u>

$\bold{tan Φ =}{\bold{\frac{ AB}{BC}}}$

$\bold{tan Φ =}{\bold{\frac{ 35}{35}}}$

$\bold{ tan Φ = 1 }$

$\bold{ tan Φ = 45 °}$

$\sf{\red{Hence, \: The \:angle \:of \:depression\: is \:45°}}$

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