Question

pllllllls I need help right triangle and trigonometry special right triangles find the value of each variable​

Answer 1

$\huge {\mathfrak{Answer : }}$

we know,

$\boxed{\cos( \theta) = \dfrac{base}{hypotenuse}}$

so,

• $\cos(30) = \dfrac{24}{x}$

• $\dfrac{ \sqrt{3} }{2} = \dfrac{24}{x}$

• $x = \dfrac{24 \times 2}{ \sqrt{3} }$

• $x = 8 \sqrt{3} \times 2$

• $x = 16 \sqrt{3}$

now,

$\boxed{ \tan( \theta) = \frac{perpendcular}{base} }$

• $\tan(30) = \dfrac{y}{24}$

• $\dfrac{1}{ \sqrt{3} } = \dfrac{y}{24}$

• $y = \dfrac{24}{ \sqrt{3} }$

• $y = 8 \sqrt{3}$