Question

Find 0.Trigonometry problems.

Answer 1

In the triangle with legs 7 and 9 cm, you can find the length of the hypotenuse by using the Pythagorean theorem. If the hypotenuse is $x$, then

$7^2+9^2=x^2\implies x=\sqrt{130}$

The other right triangle with leg 6 cm and containing the angle $\theta$ satisfies

$\sin\theta=\dfrac{6\,\rm cm}{\sqrt{130}\,\rm cm}\implies\theta=\sin^{-1}\dfrac6{\sqrt{130}}\approx31.75^\circ$