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:
66
Step-by-step explanation:
Use the formula for the mean of a set of numbers:
sum of the numbers
average = --------------------------------
count of numbers
Here we know that the average mark was 68, so we can write:
75 + 62 + 84 + 53 + x
average = 68 = ----------------------------------
5
or 274 + x
68 = -------------------
5
Solving for x, we multiply both sides by 5: 340 = 274 + x.
Subtracting 274 from both sides effectively isolates x:
340 = 274 + x
- 274 -274
------------------------
66 = x
The fifth student's mark was 66.
C=x+9, c+x=99, c=99-x
So we have two equations equal to c, c=x+9 and c=99-x, since c=c:
x+9=99-x
2x+9=99
2x=90
x=45, and since c=x+9, c=54
So Charlie weighs 54 kg and his brother weighs 45 kg.
Answer:
[C] 25π square inches
Step-by-step explanation:
<u><em>Given that:</em></u>
<em>the long hand of the clock is about 5 inches long.</em>
<u><em>To Find:</em></u>
<em>What is the approximate area of the clock face?</em>
<u><em>Solve:</em></u>
<em>Formula - </em><em>A =πr²</em>
<em>Note that;</em>
<em>π = 3.14 (about)</em>
<em>Radius - 5 inches</em>
<em>A =πr²</em>
<em>A = 3.14(5)²</em>
<em>A = 3.14(25)</em>
<em>A = 78.5</em>
<em>Now let see the answer choices:</em>
<em>A. 5π square inches ≈ 5(3.14) = 15.7</em>
<em>B. 10 π square inches ≈ 10(3.14) = 31.4</em>
<em>C. 25 π square inches ≈ 25(3.14) = 78.5</em>
<em>D. 100 π square inches ≈ 100(3.14) = 314</em>
<em />
<em>Hence, the answer is [C] 25 π square inches </em>
<em />
<u><em>Kavinsky~</em></u>
Answer:
x + 59 = 0
X= -59
Step-by-step explanation: