11.
2 answers:
Answer:
221.7 ft (nearest tenth).
Step-by-step explanation:
The situation can be modeled as a right triangle where the base is the distance between the observer (O) and the building (B), and the height is the distance between the base of the building (B) and the kite (K).
To find the <u>height of the kite</u>, use the tan trigonometric ratio.
<u>Tan trigonometric ratio</u>
where:
is the angle
- O is the side opposite the angle
- A is the side adjacent the angle
Given values:
- O = h
- A = OB = 400 ft
Substitute the given values into the formula and solve for h:
Therefore, the height of the kite flying over the building is 221.7 ft (nearest tenth).
Learn more about angles of elevation here:
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Answer:
"I can find the maximum or minimum by looking at the factored expression of a quadratic function by reading off its roots and taking the arithmetic average of them to obtain the -coordinate of the quadratic function, and then substituting that value into the function."
Step-by-step explanation:
Because of the symmetry of quadratics (which is the case here because we have two factors of degree 1, so we are dealing with a <em>polynomial</em> of degree 2, which is a fancy way of saying that something is a quadratic), the -coordinate of the extremum (a fancy way of saying maximum or minimum) is the (arithmetic) average of the two roots.
In the factored form of a quadratic function, we can immediately read the roots: 3 and 7. Another way to see that is to solve , which gives
(the 'V' stands for 'or'). We can take the average of the two roots to get the
-coordinate of the minimum point of the graph (which, in this case, is
).
Having the -coordinate of the extremum, we can substitute this value into the function to obtain the maximum or minimum point of the graph, because that will give the
-coordinate of the extremum.