Question

please help me tysm i dont understand

Answer 1

Answer:

h = 2$\sqrt{3}$

b = 3$\sqrt{2}$

Step-by-step explanation:

to find 'h' we can use the ratio of sides in a 30-60-90° triangle which, respectively, is 1 : $\sqrt{3}$ : 2

so we can set up this proportion:

h/2 = 1/$\sqrt{3}$

cross-multiply:

h = 2$\sqrt{3}$

to find 'b' we can use the ratio of sides in a 45-45-90° triangle which, respectively, is 1 : 1 : $\sqrt{2}$

we can set up this proportion:

3/b = 1/$\sqrt{2}$

cross-multiply:

b = 3$\sqrt{2}$

Answer 2

sinθ is equal to the division of the opposite side of the reference angle (θ) by the hypotenuse.

the cosine of an angle in a right triangle equals the adjacent side divided by the hypotenuse

tan30 = h/2

$tan30 = \frac{1}{ \sqrt{3} }$

1/sqrt3 = h/2

$h = \frac{2}{ \sqrt{3} }$

sin45 = 3/b

$sin45 = \frac{1}{ \sqrt{2} }$

1/sqrt2 = 3/b

b/sqrt2 =3

$b = 3 \sqrt{2}$