Answer:
![\approx 6^\circ](https://tex.z-dn.net/?f=%5Capprox%206%5E%5Ccirc)
Step-by-step explanation:
Given that:
Little Gull Island Lighthouse shines a light from a height of 91 feet above the sea level.
The angle of depression is unknown.
Distance of the point at sea surface from the base of lighthouse is 865 ft.
This situation can be modeled or can be represented as the figure attached in the answer area.
The situation can be represented by a right angled
in which we are given the base and the height of the triangle.
And we have to find the value of
(Because they are the internal vertically opposite angles).
Using tangent ratio:
![tan\theta = \dfrac{Perpendicular}{Base}](https://tex.z-dn.net/?f=tan%5Ctheta%20%3D%20%5Cdfrac%7BPerpendicular%7D%7BBase%7D)
![tanC = \dfrac{AC}{BC}\\\Rightarrow tanC = \dfrac{91}{865}\\\Rightarrow tanC = 0.105\\\Rightarrow \angle C \approx 6^\circ](https://tex.z-dn.net/?f=tanC%20%3D%20%5Cdfrac%7BAC%7D%7BBC%7D%5C%5C%5CRightarrow%20tanC%20%3D%20%5Cdfrac%7B91%7D%7B865%7D%5C%5C%5CRightarrow%20tanC%20%3D%200.105%5C%5C%5CRightarrow%20%5Cangle%20C%20%5Capprox%206%5E%5Ccirc)
Therefore, the angle of depression is: ![\approx 6^\circ](https://tex.z-dn.net/?f=%5Capprox%206%5E%5Ccirc)
Plug in -5 for n
-5^3 + 3(-5)^2
-125 + 3(25) = -125 + 75 = -50
f(-5) = -50
To find the price of something with sales tax, you simply multiply it by 1.(percent as a decimal). The "1" represents the original price, while the decimal afterwards represents the percent of sales tax. In this case, 3% is .03 as a decimal, so we should be multiplying 55 by 1.03.
55
<u>x1.03
</u>56.65
<u>
</u>Using the math above, we can see that the price of the shoes with the sales tax is $56.65.<u>
</u>
Answer:
Standard Form
Step-by-step explanation:
Answer:
Step-by-step explanation:
255/30= 8.5
85x8.5= 722.5
it will cost $722.5 for 85 students to watch the play