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jok3333 [9.3K]
2 years ago
14

Please help me tysm i dont understand

Mathematics
2 answers:
djyliett [7]2 years ago
7 0

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}

Daniel [21]2 years ago
6 0

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}

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