Answer:
The height of Sandy is 68.74 inches.
Step-by-step explanation:
It is given that the sun has risen 32 degrees above the horizon. It means the angle of elevation is 32°.
Let the height of Sandy be x.
Sandy casts a shadow that is 9 feet 2 inches long.
We know that 1 feet = 12 inches
Using this conversion, we get
Shadow = 9 feet 2 inches = 9(12)+2 = 110 inches
In a right angled triangle,
In triangle ABC,
Multiply both sides by 110.
Therefore the height of Sandy is 68.74 inches.
216 =6^3
1,296 = 6^4
7,776 = 6^5
x = 6^f(x)
log x = log 6^f(x) = f(x)log 6
f(x) = log x / log 6 =
Answer: The height of the flagpole is 12 feet.
Step-by-step explanation:
Let the height of the flagpole be 'H'.
So, from the figure, we can conclude that, the height and shadow of the flagpole is in proportion to the height and shadow of the stick.
Given:
Height of stick is,
Shadow of the stick is,
Shadow of the flagpole is,
Now, as these are in proportion, we have
Plug in the given values and solve for 'H'. This gives,
Hence, the height of the flagpole is 12 feet.
