Given:
A height of 2 feet above the ground and angle of elevation of 86 degrees.
Assuming that the form of our problem is a right triangle, we can solve for the remaining angle:
180 - (90+86) = 4 degrees
The distance from the home plate to the centerfield is
2/sin 4 = x / sin 86
solve for x
x = 28.60 feet
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Slope = (y2 - y1)/(x2 - x1)
slope = (7 - -2)/(-3 - 6)
slope = 9/-9
slope = -1
180 minus 90 equals 90, divided by 2, the answer is 45 degrees
Answer:
The answer is below
Step-by-step explanation:
Two triangles are said to be similar if their corresponding angles are equal and the corresponding sides are in proportion.
The distance between two points on the coordinate plane is given as:

In triangle STU:

|QR| / |TU| = 4/2 = 2
|PR| / |SU| = 6/3 = 2
|PQ| / |ST| = 2√13 / √13 = 2
Hence:
|QR| / |TU| = |PR| / |SU| = |PQ| / |ST|
Therefore, △PQR and △STU are similar triangles since the ratio of their sides are in the same proportion.
ANSWER and EXPLANATION
The population of lions is modeled by the equation:

where t = number of years since 2005.
(a) To find the number of lions there in 2005, we have to find P when t is 0:

There were 1500 lions.
(b) The given function is an exponential function. The exponential factor in the function is 0.98.
In an exponential function, when the exponential factor is less than 1, it means that the function is a decay, hence, it is a decreasing function.
Hence, the population of lions was decreasing over the decade.
(c) Since 2015 is 10 years after 2005, to find the population of lions in 2015, we have to find P when t is equal to 10.
That is:

That is the answer.