Answer:
114
Step-by-step explanation:
1.14 x 10²
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Please find the attached diagram for a better understanding of the question.
As we can see from the diagram,
RQ = 21 feet = height of the hill
PQ = 57 feet = Distance between you and the base of the hill
SR= h=height of the statue
=Angle subtended by the statue to where you are standing.
= which is unknown.
Let us begin solving now. The first step is to find the angle
which can be found by using the following trigonometric ratio in
:

Which gives
to be:

Now, we know that
and
can be added to give us the complete angle
in the right triangle
.
We can again use the tan trigonometric ratio in
to solve for the height of the statue, h.
This can be done as:





Thus, the height of the statue is approximately, 8.45 feet.
The two angles are a linear pair.
(Explanations down below!)
Linear pair angles must add up to 180 degrees. You can tell that the two angles add up to 180 degrees because they form a straight line (which is 180 degrees).
Complementary angles add up to 90 degrees. The two angles are not complementary because they do not form a 90 degree angle (right triangle, square in corner, like a L shape).
Vertical angles are opposite each other and are equal to one another. These angles are adjacent to each other and do not look similar.
Answer:
the alternate interior angle of angle 5 is angle 4
the measurement of this angle is 70°
angle 3 is 110°
the alternate interior angle of 3 is angle 6
the measurement of this angle is 110°
Answer:
12 ≠ 14
Step-by-step explanation:
(4+8)=2+(6x2)
12 = 2 + 12
12 ≠ 14.
So the equation is false.