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Question
In given figure, AD = 4 cm, BD = 3 cm and CB = 12 cm. The value of tan `theta` is ____________.
Options
`5/13`
`12/13`
`5/12`
`12/5`
MCQ
Fill in the Blanks
Solution
In given figure, AD = 4 cm, BD = 3 cm and CB = 12 cm. The value of tan `theta` is `underline(5/12)`.
Explanation:
In rt `Delta "ADB",`
`"AB"^2 = "AD"^2 + "BD"^2`
`= (4)^2 + (3)^2`
`= 16 + 9 = 25`
`therefore "AB" = sqrt 25 = 5`
`therefore "In rt" Delta "ABD, tan" theta "Ab"/"BC" = 5/12`
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