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.
Answer:
WINKEY + D. ...
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SHIFT + Mouse Click on a taskbar button. ...
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SHIFT + Right Mouse Click on a taskbar button. ...
SHIFT + Right Mouse Click on a grouped taskbar button. ...
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WINKEY + T.
ctrl + X = cut
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make me brainliest
Answer:
2.5 feet
Step-by-step explanation:
Since circumference is just pi(we're using 3.14 in this case) * diameter, which is our answer, we need to divide the circumference(which is 7.58) BY 3.14, which is pi. This leaves us with the diameter, which is 2.5. The unit is already feet, so we needn't do anything about that.
Answer:One solution was found : x = 12. Rearrange: Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the ...
Step-by-step explanation:
Answer:
95 cents per Muffin
Step-by-step explanation:
Set up the long division.
8 | 7 6 0
2. Calculate 76 ÷ 8, which is 9 with a remainder of 4.
9
8 | 7 6 0
7 2
4
3. Bring down 0, so that 40 is large enough to be divided by 8.
9
8 | 7 6 0
7 2
4 0
4. Calculate 40 ÷ 8, which is 5.
9 5
8 | 7 6 0
7 2
4 0
4 0
5. Therefore, 760 ÷ 8 = 95.
