Change everything to the same thing. See like how 30% is a percent you can move the decimal of 0.8 to make it a percent like 80%, then for 3/5 you divide 3 by 5 and you get 0.6 then you can move the decimal to get 60%. So all you have to do now is order the percentages from smallest to largest. Like so 30%, 60%, 80% which then ends up as 30%, 3/5, 0.8.
Answer:
-5, and 7
Step-by-step explanation:
see the steps below:)
Answer:
7.6 × 10^5 would be your 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.