Question

Find tаn Ө.
A. 15/17
B.15/8
C.8/15
D.8/17

Answer 1

`\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}`

`\tan(\theta) = (perpendicular)/(base) \\`

we can see we aren't provided with the perpendicular , so let's find it using Pythagoras Theorem !

`H {}^(2) = P {}^(2) + B {}^(2) \\ \\ \dashrightarrow 17 {}^(2) = P {}^(2) + 8 {}^(2) \\ \\ \dashrightarrow \: P {}^(2) = 17 {}^(2) - 8 {}^(2) \\ \\ \dashrightarrow \: P {}^(2) = 289 - 64 \\ \\ \dashrightarrow \: P { }^(2) = 225 \\ \\ \dashrightarrow \: P = √(225) \\ \\ \dashrightarrow \: P = 15`

substituting the value of P in the formula

`\tan(\theta) = (15)/(8) \\`

therefore , option ( B ) is correct !

hope helpful ~