Answer: The height of the mountain is 1,331.4 meters (approximately)
Step-by-step explanation: From the information given, the students were standing at point b which is 800 meters from the base of the mountain and the angle of elevation from that point is 59°. Assuming that the ground is level, we can derive a right angled triangle from this set of details and hence we have triangle ABC, where angle β is the reference angle, (59 degrees), BC is the distance from the students to the base of the mountain (800 meters) and the line AC is the height of the mountain.
The line AC is the opposite, since angle B is the reference angle, therefore we shall use the trigonometric ratio as follows;
Tan β = opposite/adjacent
Tan 59 = AC/800
Tan 59 x 800 = AC
1.6643 x 800 = AC
1331.44 = AC
AC ≈ 1331.4
Therefore the height of the mountain is approximately 1,331.4 meters
Answer:
c
Step-by-step explanation:
because they are in large sizes but small amount of time
Look at it this way:
g=2
H=7
so it would be 2*5-7*3
than just do the multiplication first so 2*5=10 and 7*3=21 than subtract the two 10-21=-11
Answer:
Step-by-step explanation:
The number of parrots in t years after 2010 can be modeled by the following function:
In which P(0) is the number of parrots in 2010 and r is the growth rate, as a decimal.
608 parrots in the forest in 2010.
This means that 
Then
When the scientists went back 5 years later, they found 4617 parrots.
This means that 
We use this to find 1 + r. So
![1 + r = \sqrt[5]{\frac{4617}{608}}](https://tex.z-dn.net/?f=1%20%2B%20r%20%3D%20%5Csqrt%5B5%5D%7B%5Cfrac%7B4617%7D%7B608%7D%7D)
So
If you're only dealing with integers, then the answer is:
[-8 , -3)
If you're dealing with real numbers, then the answer is:
[-8, -3)∪(-3, -2)
