A ladder leans against the side of a house. The angle of elevation of the ladder is 73°, and the top of the ladder is 14 ft abov
1 answer:
Answer:
4.3 feets
Step-by-step explanation:
Given that:
Angle of elevation = 73°
Horizontal distance from foot of ladder to bottom of wall = x feets
Height of ladder = 14 feets
The horizontal distance, x :
Using trigonometry :
Tan θ = opposite / Adjacent
Tan θ = 14 / x
Tan 73 = 14 / x
3.2708526 * x = 14
x = 14 / 3.2708526
x = 4.2802295
x = 4.3 feets
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Answer:
yes to both
Step-by-step explanation:
For a relationship to be a function then each value of x must relate to exactly one unique value of y.
This is the case in this table as
2 → 76
4 → 152
6 → 228
All unique values thus a function
To determine if it is linear then the rate of change is constant for each set of ordered pairs. This is measured using the slope formula.
m =
with (x₁, y₁ ) = (2, 76) and (x₂, y₂ ) = (4, 152 ) ← ordered pair from table
m = =
= 38
Repeat with (x₁, y₁ ) = (4, 152) and (x₂, y₂ ) = (6, 228)
m = =
= 38
Since rate of change is constant then function is linear