See the attached figure to better understand the problem
we know that
tan 29°=AC/CB--------> CB=AC/tan 29°
AC=110 ft
CB--------> <span>how far the man is from the helicopter landing pad
</span>so
CB=AC/tan 29°----------> CB=110/ tan 29°----------> CB=198.45 ft
the answer is
the man is 198.45 ft from the helicopter landing pad
The solution is (5,2)
Step-by-step explanation:
From the third column the equation for sum of equivalent system is given as;
8x = 40
divide both sides by 8 to get value of x
8x/8 = 40/8
x=5
Using the value of x in the fifth column's first equation will be;
4x +4y =28
4(5) + 4y =28
20 +4y =28
4y= 28-20
4y=8
divide both sides by 4 to get y
4y/4 =8/4
y=2
The solution is x=5 and y=2 written as (5,2)
Learn More
Solving simultaneous equations : brainly.com/question/12647791
Keywords: table, solution, column, original system
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AC is a tangent so by definition, it touches the circle at exactly one point (point C) and forms a right angle at the tangency point. So angle ACO is 90 degrees
The remaining angle OAC must be 45 degrees because we need to have all three angles add to 180
45+45+90 = 90+90 = 180
Alternatively you can solve algebraically like so
(angle OAC) + (angle OCA) + (angle COA) = 180
(angle OAC) + (90 degrees) + (45 degrees) = 180
(angle OAC) + 90+45 = 180
(angle OAC) + 135 = 180
(angle OAC) + 135 - 135 = 180 - 135
angle OAC = 45 degrees
Side Note: Triangle OCA is an isosceles right triangle. It is of the template 45-45-90.
Answer:
If A and B are two rational numbers such that A<B
Then X = A + (B-A)/π would be an example of an irrational number
such that A < X < B
Hope this helps
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