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.
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Since you are trying to figure out how many miles she can drive in 1 hour and you already have half of that hour, all you would need to do is double that number.
× 
= 
Now, all you would need to do is simplify the answer.
= 1 
or 1.6
The answer would be, Suzy can drive 1 or 1.6 miles in 1 hour.
I hope this helps!
Now, all you would need to do is simplify the answer.
The answer would be, Suzy can drive 1
I hope this helps!
Answer:
The correct answer is 0.486.
Step-by-step explanation:
Total number of employees at the home office of Gibraltar Insurance Company is 270 + 340 = 610
Number of employees on flex time are 350, out of which 170 are men and 180 are women.
We need to find the probability that out of the given employees, a randomly chosen one is on flex time and is a man.
Favorable outcomes are 170 and total outcome is 350.
Thus the probability is given by = 0.4857≈ 0.486