Answer:
h = 1558.8
Step-by-step explanation:
Let x be the distance from the vertex of the 30 degree angle to the base of Blue mountain.
Tan (30) = h/x Multiply both sides by x.
x * Tan(30) = h
Tan(25) = h/(x + 200) Multiply x + 200 on both sides.
(x + 200) * Tan(25) = h
Now you have 2 equations both equal to h. The two sides can be equated to each other.
x*tan(30) = (x + h) * Tan(25) Divide both sides by tan(25)
x*tan(30)/tan(25) = x + 200 Find Tan(30)/Tan(25)
Tan30 / tan(25) = 1.23813 so
1.23813 x = x + 200 Subtract x from both sides.
0.23813x = 200 Divide both sides by 0.23813
x = 200/0.23813
x = 839.99
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That is not the answer you have been asked for. What you need is h.
Tan(30) = x / h Multiply both sides by h
h*tan(30) = x Divide both sides by tan(30)
h = x/tan(30)
h = 839.99/tan(30) Tan 30 = 0.57735
h = 839.99/0.57735
h = 1558.8
Answer:
line 2
Step-by-step explanation:
on line 2 the two minuses at the end turn into a + (where the -2 is there should be a +2) because - x - = +
Answer:
0.125
Step-by-step explanation:
0.5x0.5x0.5= 1/2 x 1/2 x1/2
0.5x0.5x0.5=0.125
Answer:
Choose date
Step-by-step explanation:
Choose any date so you could go to school face to face on that date
Answer:
13.6 ft
Step-by-step explanation:
The geometric sequence of arc lengths can be described by ...
f(n) = a·b^n
We have (n, f(n)) = (3, 20) and (7, 12). Using these values, we can find the common ratio (b):
20 = a·b^3
12 = a·b^7
Then ...
12/20 = (a·b^7)/(a·b^3) = b^4 = 3/5
We want the 6th term, which we can get from the 7th term by multiplying by b^-1.
b^(-1) = (b^4)^(-1/4) = (3/5)^(-1/4) = √(√(5/3)) ≈ 1.13622
Then the 6th swing had an arc length of ...
f(6) = f(7)·b^-1
f(6) = (12 ft)(1.13622) ≈ 13.63 ft ≈ 13.6 ft