Answer:
27.2 ft
Step-by-step explanation:
Let's set up a ratio that represents the problem:
Object's Height (ft) : Shadow (ft)
Substitute with the dimensions of the 34 foot pole and its 30 foot shadow.
34 : 30
Find the unit rate:
The unit rate is when one number in a ratio is 1.
Let's make the Shadow equal to one by dividing by 30 on both sides.
Object's Height (ft) : Shadow (ft)
34 : 30
/30 /30
1.13 : 1
Now, let's multiply by 24 on both sides to find the height of the tree.
Multiply:
Object's Height (ft) : Shadow (ft)
1.13 : 1
x24 x24
27.2 : 24
Therefore, the tree is 27.2 feet tall.
Answer:

Step-by-step explanation:

Answer:
65/72
Step-by-step explanation:
cot is simply cosine over sine or the tangant flipped
the cos (c)=65/97
sin (c) = 72/97
cot would be (65/97)/(72/97)
How do you divide fractions? By multiplying the reciprocal!
cot would be 65/97 * 97/72
the 97s cross out.
65/72
168
You add 4, 1, and 2 to get 7. You put 4/7=x/294. Then you use proportions to solve for x.
7x=1176
x=168
Y = 3bx - 7x
y = x(3b - 7)
Divide each side by 3b - 7 (assume that it is not zero).

Answer: