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In the figure AB = 10 cm, ∠B = 30°, DC = 5 cm AD = ______. - Mathematics

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Question

In the figure AB = 10 cm, ∠B = 30°, DC = 5 cm

AD = ______.

Options

  • 10 cm

  • 20 cm

  • 5 cm

  • 7.5 cm

MCQ
Fill in the Blanks
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Solution

AD = 5 cm.

Explanation:

In ΔABD, right-angled at D

use sin 30° = `(AD)/(AB)`

= `1/2 = (AD)/10` 

= `AD = 10 xx 1/2`

= 5 cm

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Chapter 20: Simple 2-D Problems in Right Triangle - MULTIPLE CHOICE QUESTIONS [Page 245]

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B Nirmala Shastry Mathematics [English] Class 9 ICSE
Chapter 20 Simple 2-D Problems in Right Triangle
MULTIPLE CHOICE QUESTIONS | Q 7. (i) | Page 245
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