Question

Help needed for trigonometry !!!

Answer 1

k = 53.13°

Explanation:

`{ tan (k) = \frac{\text{side opposite k}}{\text{side adjacent k}}}`

`= (35)/(JK)\\\\\textrm{Since JK is a right triangle, by the Pythagorean theorem }\\JK = √(IK^2 - IJ^2)}\\\\= √(35^2 - 28^2)\\\\\\ =√(1225 - 784)\\\\= √(441)\\\\= 21`

`\tan(k) = (28)/(21) = 1.333\\\\k = \tan^(-1)(1.333)\\\\= 53.13^\circ`