Using the Heron's formula, the area of the triangle is: D. 95 square inches.
<h3>What is the Heron's Formula?</h3>
Area = √[s(s - a)(s - b)(s - c)] where s is half the perimeter, or (a + b + c)/2.
Given the following:
s = semi-perimeter = 1/2(50) = 25 in.
a = length of side a = 22 in.
b = length of side b = 13 in.
c = length of side c = 50 - 22 - 13 = 15 in.
Plug in the values
Area = √[25(25 - 22)(25 - 13)(25 - 15)]
Area = √[25(3)(12)(10)]
Area ≈ 95 square inches.
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Hello!
First of all let's eliminate the answers that do not make sense. For A. numbers are NOT irrational because they are a fraction. Numbers are also not irrational because they are a repeating number. C and D are both correct as fractions and terminating decimals are both rational numbers.
34/3≈11.33333333
By using a certain formula you can convert repeating decimals to a fraction. But most people know that .3333333 is 1/3. This gives us 11 1/3 as our answer. So what does it match? It is not a terminating decimal. It repeats but can be written as a fraction. Therefore our answer is C) Rational, because it is a fraction.
I hope this helps!
Answer:

Step-by-step explanation:
Given that,
The height of the tower, h = 40 m
The angle of elevation is 30°
We need to find the distance between the tower and the point. Let the distance is x. Using trigonometry,

So, the distance between the tower and the point is equal to
.
All U Gotta Do Is Find The Common Denominator For 2 & 3 .