Answer:
The angle of elevation of the sun is 39⁰
Step-by-step explanation:
Given;
height of the tree, h = 96 ft
length of the shadow, L = 120 ft
|
| 96ft
|
|
θ------------------------------------
120ft
Completing this triangle to cut across the top of the tree gives you a right angled triangle with θ as the angle of elevation of the sun.
Apply trig-ratio to determine the angle of elevation of the sun;
tanθ = opposite side / adjacent side
tanθ = 96 / 120
tanθ = 0.8
θ = tan⁻¹(0.8)
θ = 38.7⁰
θ = 39⁰
Therefore, the angle of elevation of the sun is 39⁰
Answer:

Step-by-step explanation:
The given equation is

For this function to have an inverse, we must restrict the domain, say 
We interchange x and y to get,

We now make y the subject to get;


We divide through by 16 to get;

We now take the square root of both sides to get;


Since
, the inverse function is

3x-13=2
move -13 to the other side
sign changes from -13 to +13
3x-13+13=2+13
3x=2+13
3x=15
divide both sides by 3 to get x by itself
3x/3=15/3
cross out 3 and 3, divide by 3 and then becomes 1*1*x=x
x=15/3
x=5
answer:
x=5
Answer:
Hey there!
Let the cost of one uniform be c, so the expression becomes
c+13+11+18
Thus, we have c+42
Hope this helps :)
Answer:
61.69?
Step-by-step explanation:
Are you asking what 31% of 119 is? If so, then the answer would be 61.69.
Because (119)0.31=61.69
(To make a percent, you take a decimal out of 1, and multiply. 0.31 would be 31, because we would multiply it by 100, becuase you can only get to 100%. Then you woukd do the opposite, reverse it by dividing by 100. Which then, you would get 0.31)
Hope that helped.