Hello!
Question 1
In a 30-60-90 triangle the hypotenuse is 2x the height is [tex]x \sqrt{3} [/tex] and the base is x
Find x
11 = 2x
Divide both sides by 2
5.5 = x
Put in x into the other equations
[tex]5.5 \sqrt{3} = 9.5[/tex]
x = 5.5
2x = 11
11 + 5.5 + 9.5 = 26
We put the equations into a calculator and see which one is close to 26
The answer is B) 33/2 + 11/2 * the square root of 3
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Question 2
For this one we can put the choices into a calculator and see what comes up close to 15
tan(86.19°) = 15.01
the answer is D) 86.19°
Hope this helps!
