Answer:
30.1 feet.
Step-by-step explanation:
We have been given that a school flag poll casts a 16 foot shadow on the lawn. A teacher stood at the shadows edge and measure the angle of elevation to the top of the poll at 62°. We are asked to find the height of the tall.
First of all, we will draw a diagram to represent our give scenario as shown in the attachment.
We can see that side length with 16 feet is adjacent side and height of the pole (h) is opposite side to angle of elevation.
We know that tangent relates opposite side of a right triangle to its adjacent side.





Therefore, the poll is approximately 30.1 feet tall.
Answer:
her balance in August is $70
Step-by-step explanation:
First, calculate her balance after the deposit in June:
150 + 25
= 175
Then, calculate her balance after July's withdrawl:
175 - 105
= 70
So, her balance in August is $70
As for this problem, it would be best to approach this with a ratio to ratio approach. This would then involve the equation with fractions which is the common conversion from ratios to easily solve the problems concerning these. The equation then would look somehow like this:
0.01 miles / 1 hour = x miles / 2.4 hours
The easiest way would be just to multiply the numerator, which is the miles, to 2.4. So when it is multiplied to the numerator, the equation then would turn to:
0.01 miles x 2.4 / 1 hour = x miles / 2.4 hours
0.024 miles would be the answer.
Answer:
there are 11 diffrent sums and the greatest sum is 12
Step-by-step explanation:
Answer:
x = -9/2
Step-by-step explanation:
1. Divide 9 by -1/3:
÷
=
· 
= -27
2. Divide both sides by 2:
2(x - 9) = -27

(x - 9) = 
3. Add 9 to both sides:
x = 
(or 4.5 if you need it in decimal form)
hope this helps!