Answer: x = 9.6
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Explanation:
We have two smaller right triangles that are glued together so to speak.
The base of the smaller triangle on the left is 5 while the height is h.
Let's use the tangent rule to find the value of h
tan(angle) = opposite/adjacent
tan(55) = h/5
5*tan(55) = h
h = 5*tan(55)
h = 7.14074003371058
Make sure your calculator is in degree mode. That value of h above is approximate.
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Now focus on the smaller triangle on the right
It has the same height value h. This side is the adjacent side while x is the hypotenuse.
We'll use the cosine ratio
cos(angle) = adjacent/hypotenuse
cos(42) = h/x
cos(42) = 7.14074003371058/x
x*cos(42) = 7.14074003371058
x = 7.14074003371058/cos(42)
x = 9.6088135029715
x = 9.6
Each of the triangles are equal in base length, height, and area<span>. Remember the formula for the </span>area<span> of a triangle. The </span>area<span> of any triangle is 1/2 times the length of the base (which, in the </span>polygon<span>, is the length of a side) multiplied by the height (which is the same as the apothem in </span>regular polygon<span>).
</span>
Answer:
3 1/8
Step-by-step explanation:
6 1/4 ÷ 2
~Turn each number into an improper fraction
25/4 ÷ 2/1
~Copy Dot Flip
25/4 * 1/2
~Multiply
25/8 or 3 1/8
Best of Luck!
