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:
16 units squared
Step-by-step explanation:
First, calculate the distance between (0, 0) and (0, 4). The distance is in y, so there are 4 units in-between.
Next, calculate the distance between (0, 0) and (4, 0). This time, the distance is in x, but it is still four.
We know the dimensions of the shape are 4x4 so we just multiply.
4*4=16
How am I suppose to help you if I can’t see the words. It’s too blurry.
Answer:
(f - g)(2) = 11
Step-by-step explanation:
f(x) = 3² + 1
g(x) = 1 - x
(f - g)(2) = f(2) - g(2)
f(2) = 9 + 1 = 10
g(2) = 1 - 2 = -1
10 - (-1) = 10 + 1 = 11
(f - g)(2) = 11
Answer:
2.829
Step-by-step explanation:
ita the closest to 2.83