Answer:
7.4 feets
Step-by-step explanation:
Distance from bottom of ladder to side of the house = d
θ = 62 ; height, h = 14
Using trigonometry :
Tan θ = opposite / Adjacent
Opposite = height ; adjacent = d
Tan 62° = 14 / d
1.8807264 * h = 14
d = 14 / 1.8807264
d = 7.44
Answer:


Step-by-step explanation:
Area is found by mulitplying width and height.

in
The ratio is 0.5in : 1ft, so if you multiply that ratio to the answer, you should get the answer in feet.
in x


The ratio of the length to the width is

.
The ratio of the sides will be the same for the scale and actual figures.

I took the L/W of the scale figure
and set it equal to the L/W of the actual figure.
Now we can solve for the unknown width.
Cross-multiplication gives us this,

Divide by 2.4 and simplify,

Hope that helps! :)
Answer:
Step-by-step explanation:
Let p be the number of trees Wangari plants, and h be the time she spends planting them in hours.
We have been given that Wangari plants trees at a constant rate of 12 trees every 3 hours.
Let us find number of trees planted in 1 hour by dividing 12 by 3.


We can represent this information as: 
Therefore, the equation
relates the number of trees (p) Wangari plants, and the time (h) she spends planting them in hours.
If we have:
logₐy = (logₓy) / (logₓa) By change of base formula.
log₁₀65 = (log₁₀₀₀65) / (log₁₀₀₀10)
(log₁₀₀₀65) = log₁₀65 * (log₁₀₀₀10)
log(₁₀₀₀10) = 1/ (log₁₀1000) = 1/(log₁₀10³) = 1/3
(log₁₀₀₀65) = (log₁₀65) * (log₁₀₀₀10)
(log₁₀₀₀65) = 1.812 * (1/3)
(log₁₀₀₀65) = 0.604
I hope this helps.