RDTQ is a trapezoid. Find measure of angle R
1 answer:
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Answer:
Height = 5 ft
Short base = 10 ft
Long base = 14 ft
Step-by-step explanation:
Let h = height, a = short base, b = long base.
From the question,
a = 2h
b = a + 4 = 2h + 4
The area of the trapezoid is given by . Thus,
or
or
We discard the negative value of h since it is a measurement and cannot be negative.
Let the ∠C be : θ
From the figure, We can see that the Side which is opposite to angle θ is measuring 7 units
Also, We can notice that Hypotenuse is 11 units
As we are dealing with opposite and hypotenuse, we can clearly use Sinθ to find out the angle θ
We know that :
<u>Answer</u> : The measure of ∠C to the nearest degree is 38°