Answer:
unknown at the moment....
Step-by-step explanation:
I haven't worked out the answer myself but here are the steps to follow for you to find out the answer.
First step is to find the angle of 'A'. Do this by using the <em>cosine rule</em> on the smaller triangle.
Formula for this is;
cos(A) = <u>b2 + c2 – a2</u>
2bc
Second Step is to find the length between AC. Do this by using the <em>Sine Rule</em> on the large triangle as a whole.
Formula for this is;
<u> a </u> = <u> b </u> = <u> c </u>
Sin(A) Sin(B) Sin(C)
Label the large triangle as CA=b and CB=a
This is so you have the length and angles of all parts but the one section in which you're trying to find, this should be the basis of your sine formula but fill in the angle of 'A' which you found before.
<u> 65m </u> = <u> b </u>
Sin(A) Sin(68°)
now get 'b' by itself
<u> 65m (Sin(68°))</u> = b
Sin(A)
Third step. Now that you have the length of b or AC, minus the length 27m to find the length of CD.
Hope this helps :)
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.
Melanie pumps 2 in per hr....Lori pumps 4 in per hr
so Lori pumps water at a faster rate
Yolanda writes 1 per day...Zoe writes 2 per day
so Zoe has higher the rate of production
<span>hope this helps !
20/((cos(5*x))^2)</span>
Yes. Natural numbers are positive integers, and the square root of <span>38,165,138,881 is 195,359.</span>
