12. The traffic warning sign below has a triangle shape with base of 18 inches,
1 answer:
Answer:
C.
Step-by-step explanation:
The area of the triangle is
It’s known that
Area - irrational number
- rational number (rational numbers can be expressed as fractions)
Base = 18 inches - rational number (in fact, 18 is a natural number, and all natural numbers are rational)
Height - unknown
You may rewrite the earlier formula as
Analyzing all options:
A. If the height is a whole number, then the area will also be a whole number due to multiplying two whole numbers. Incorrect
B. If the height is a rational number, the area becomes rational since it's a product of rational numbers. Incorrect
C. If the height is irrational, the area is also irrational because of the product of rational and irrational numbers. Correct
D. If height is a non-real complex number, then area is non-real complex as it comes from a product of rational and non-real complex numbers. Incorrect
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Examine the illustration provided below:
Solution:
240951.33km
Detailed Explanation:
To tackle this type of problem, the first step is to recreate the diagram as depicted in the accompanying file (Figure 1).
Upon observing the diagram, it becomes apparent that triangle ABC is established by bisecting the 35-degree angle (the bisection of this angle divides it into two equal segments, resulting in two angles of 17.5 degrees each).
Given that triangle ABC is a right triangle, we can employ trigonometric ratios to ascertain the sun's diameter.
In triangle ABC, BC serves as the perpendicular side (opposite to ), while AC is the base (adjacent side).
=17.5 degrees
AC equals 382100km
Substituting the values yields:
Diameter=d=2*Radius
Since BC represents the sun's radius from its center, we derive the diameter by multiplying it by 2.
The diameter of the sun is d=2*120475.66km
