Question

Use a trigonometric ratio to find the measure of 0 in the triangle below. Give your answer to the nearest degree. You may use the trigonometric functions of the Desmos scientific calculator:

Answer 1

$\\ \sf\longmapsto sin\Theta=\dfrac{Perpendicular}{Hypotenuse}$

$\\ \sf\longmapsto sin\Theta=\dfrac{9}{10}$

$\\ \sf\longmapsto sin\Theta=0.9$

$\\ \sf\longmapsto sin^{-1}\Theta=sin^{-1}(0.9)$

$\\ \sf\longmapsto \Theta=64.15°$

Answer 2

Answer:

• from trigonometric ratios:

${ \boxed{ \rm{ \sin( \theta) = \frac{opposite}{hypotenuse} }}}$

• opposite → 9 cm

• hypotenuse → 10 cm

${ \rm{ \sin( \theta) = \frac{9}{10} }} \\ \\ { \rm{ \theta = { \sin }^{ - 1}( \frac{9}{10}) }} \\ \\ { \boxed{ \rm{ \theta = 64.2 \degree}}}$