PLEASE HELP GIVING MANY POINTS!
1 answer:
Answer:
69.01 m
Step-by-step explanation:
The mnemonic SOH CAH TOA reminds you ...
Tan = Opposite/Adjacent
The tangent function is useful for problems like this. Let the height of the spire be represented by h. The distance (d) across the plaza from the first surveyor satisfies the relation ...
tan(50°) = (h -1.65)/d
Rearranging to solve for d, we have ...
d = (h -1.65)/tan(50°)
The distance across the plaza from the second surveyor satisfies the relation ...
tan(30°) = (101.65 -h)/d
Rearranging this, we have ...
d = (101.65 -h)/tan(30°)
Equating these expressions for d, we can solve for h.
(h -1.65)/tan(50°) = (101.65 -h)/tan(30°)
h(1/tan(50°) +1/tan(30°)) = 101.65/tan(30°) +1.65/tan(50°)
We can divide by the coefficient of h and simplify to get ...
h = (101.65·tan(50°) +1.65·tan(30°))/(tan(30°) +tan(50°))
h ≈ 69.0148 ≈ 69.01 . . . . meters
The tip of the spire is 69.01 m above the plaza.
You might be interested in
For this case we have the following system of equations:
Rewriting equation 1 we have:
Therefore, the equivalent system is:
The system will have no solution, if we write equation 2 as a linear combination of equation 1.
Therefore, since both lines have the same slope, they are parallel.
Parallel lines do not intersect when they have different cut points.
Therefore, there is no solution for:
-12, -4, 0, 4
The system has inifinites solutions for:
12
This is because the lines intersect at all points in the domain.
Answer:
The values, when placed in the box, would result in a system of equations with no solution are:
A: -12
B: -4
C: 0
D: 4