I'm going to play with you rn.
To find the height of the tree, we can use trigonometry and the given information.
Let's denote the height of the tree as h.
1. We have the length of the shadow, which is 150 ft.
2. We also have the angle of elevation from the tip of the shadow to the top of the tree, which is 30°.
We can use the tangent function to find the height of the tree:
tangent(angle) = opposite/adjacent
In this case, the opposite side is the height of the tree (h) and the adjacent side is the length of the shadow (150 ft).
So, we can write the equation as:
tangent(30°) = h/150
Now, let's solve for h:
tangent(30°) = h/150
tan(30°) = h/150
√3/3 = h/150
Cross-multiplying:
3h = 150√3
h = 50√3
To find the approximate value, we can use a calculator:
h ≈ 50 * 1.732 ≈ 86.6 ft
Rounded to the nearest foot, the height of the tree is approximately 87 ft.
Therefore, the correct answer is option B: 87 ft.
Answer:
950 People
Step-by-step explanation:
If you have 95% of 100 then it is 95, correct? So, if you have 95% of 1000, the it must be 950.
Just saying, it might be wrong but try it anyways... if it isnt right then im sorry.
Answer:
a. x = 1.2, b. A = 32.1°
Step-by-step explanation:
1.41²-.75²=x²
a. x = 1.2
sin A = 0.75/1.41
b. A = 32.1°
Answer:
im on that question too thats crazy
Step-by-step explanation:
True
False
B) $91.43¢/qt
C) 64¢/qt
D) 0.64¢/qt
answer:
b. $91.43/qt
step-by-step explanation:
it's a lot of work
Answer:
width is 14, length is 19
Step-by-step explanation:
let w represent the width of the rectangle.
"The length of a rectangle is 5 cm longer than its width."
You can take from this that you must add 5 to the width to get the length.
so, you can now write that L=w+5 .
The formula for perimeter is 2w+2L.
You can plug the values in.
2w+2(w+5) is the expression you get.
use distributive property on the 2(w+5) to get 2w+ 2w+10 . Add same terms together and get 4w+10, which represents the perimeter.
"..The perimeter of the rectangle is 66 cm."
Set the simplified expression 4w+10 to 66 to get
4w+10=66
Subtract 10 from both sides and get
4w=56
divide by four for both sides and get w=14 .
We are not done yet!
To find the length, plug the width back into our formula L=w+5 and get L=14+5. The length is 19.