Question

is cos theta=11/61 find tan theta

Answer 1

SOLUTION:-

Cos theta = 11/16

base/hypotenuse=11/17

let base = 11x

hypotenuse=17x

Perpendicular=

$\sqrt{ {h}^{2} - {b}^{2} } \\ = \sqrt{ {(17x)}^{2} - {( 11x)}^{2} } \\ = \sqrt{289 {x}^{2} - 121 {x}^{2} } \\ = \sqrt{168 {x}^{2} }$

$= 12.95x$

So perpendicular is 12.95x

tan theta = perpendicular/base

=12.95x/11x

=12.95/11(approx.)

HOPE IT WILL HELP U