We know that the height of the building is 45m, and the
distance between the building and victor is 20m. Since the problem does not
state the height of Victor, we can assume that horizontal line of sight of
Victor coincides with the base of the building. This gives us a right triangle
with angle x and sides 45m and 20m, as you can see in the diagram.
Now, to find the value of the angle x, we will need a
trigonometric function that relates the opposite side of our angle x with the
adjacent side of it; that trigonometric function is tangent. Remember that 
We know for our diagram that the opposite side of Victor's angle of inclination, x, is the height of the building (45m), and the adjacent side of it is the distance between Victor and the building (20m). Now we can replace the values in our tangent equation to get:
But we need to find the value of x not the value of tangent, so we are going to use the inverse function of tangent, arctangent (arctan)
to solve the equation for x:
We can conclude that Victor's angle of inclination from he stands to the top of the building is 66°.
Answer:
114
Step-by-step explanation:
To find - Find the sum of all the two-digit numbers that divide 170 with a remainder of 5.
Proof -
The 2 digit number is 11
170 = 11(15) + 5
The two digit number is 15
170 = 15(11) + 5
The two digit number is 33
170 = 33(5) + 5
The two digit number is 55
170 = 55(3) + 5
∴ we get
The two digit numbers are
11, 15, 33, 55
Their sum is equals to
11 + 15 + 33 + 55 = 114
Answer:
q=371
Step-by-step explanation:
Answer:
The equation can be used to determine the amount of money S(t) that her savings account has after t years is 
Step-by-step explanation:
A student invests $500 in a savings account
Principal = $500
Rate of interest = 4% = 0.04
We are supposed to find equation can be used to determine the amount of money S(t) that her savings account has after t years
Formula : 
Where A is the amount after t years =S(t)
t = time
r = rate of interest in decimals =0.04
P = Principal=500
Substitute the value in the formula :
So, 
Hence The equation can be used to determine the amount of money S(t) that her savings account has after t years is
