Question

The length of s and hypotenuse

Answer 1

Answer:

A

Step-by-step explanation:

this is a standard right triangle 30-60-90

with legs 1 and $\sqrt{3}$ and hypotenuse 2, hence

s = $\sqrt{3}$ and h = 2

Answer 2

Answer:

A. $\sqrt{3}$ ; 2

Step-by-step explanation:

Since We have all the angles of the triangle and one side we can use SIN, COS, and TAN to find the missing side lengths. SIN which is $sin(x) = \frac{opposite}{hypotenuse}$ can be used to find the hypotenuse

$sin(30) = \frac{1}{h}$

$\frac{1}{sin(30)} = \frac{h}{1}$ ..... inverse both sides

$\frac{1}{sin(30)} = h$

$2 = h$

Now we can use the Pythagorean theorem to find the missing length. The Pythagorean Theorem is $a^{2} +s^{2} = h^{2}$. So we just plug in the values we already have and solve for s.

$1^{2} +x^{2} = 2^{2}$

$1+s^{2} = 4$

$s^{2} = 3$

$s = \sqrt{3}$

In Conclusion, s = $\sqrt{3}$ and h = 2

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