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Question Number 134396 by I want to learn more last updated on 03/Mar/21

Commented by mr W last updated on 03/Mar/21

P+Q=2×10×sin ((75°)/2)=12.2 unit

$${P}+{Q}=\mathrm{2}×\mathrm{10}×\mathrm{sin}\:\frac{\mathrm{75}°}{\mathrm{2}}=\mathrm{12}.\mathrm{2}\:{unit} \\ $$

Commented by mr W last updated on 03/Mar/21

Commented by I want to learn more last updated on 03/Mar/21

Thanks sir. I understand now. God bless you sir.

$$\mathrm{Thanks}\:\mathrm{sir}.\:\mathrm{I}\:\mathrm{understand}\:\mathrm{now}.\:\mathrm{God}\:\mathrm{bless}\:\mathrm{you}\:\mathrm{sir}. \\ $$

Answered by liberty last updated on 03/Mar/21

∣P+Q∣=(√(200−200 cos 75°)) = 10(√(2−2cos 75°)) ≈ 12.175

$$\mid\mathrm{P}+\mathrm{Q}\mid=\sqrt{\mathrm{200}−\mathrm{200}\:\mathrm{cos}\:\mathrm{75}°} \\ $$$$\:=\:\mathrm{10}\sqrt{\mathrm{2}−\mathrm{2cos}\:\mathrm{75}°}\: \\ $$$$\:\approx\:\mathrm{12}.\mathrm{175} \\ $$

Commented by I want to learn more last updated on 03/Mar/21

Thanks sir. i appreciate.

$$\mathrm{Thanks}\:\mathrm{sir}.\:\mathrm{i}\:\mathrm{appreciate}. \\ $$

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