Answer:
I'm not able to do it but I can tell you how
Step-by-step explanation:
make the 10a-9 equal 14a-25 solve for that a then use the answer to a to then plug in thst number in all of them and that would be your answer
We divide the pennies 100 to convert pennies to dollar
1 pennies= 1/100 dollar
Then we will convert 6.02×10∧23 p to dollar
=1 dollar/100 pennie ×6.02×10∧23
= 6.02×10∧21
The total men and women and children in 250 m
=25×108
6.02×10∧21/2.5×10∧8
= 2.408×10∧13
Answer:
1950.54
Step-by-step explanation:
1950.54
The question is find the height of the tree, given that at two points 65 feet apart on the same side of the tree and in line with it, the angles of elevaton of the top of the tree are 21° 19' and 16°20'.
1) Convert the angles to decimal form:
19' * 1°/60' = 0.32° => 21° 19' = 21.32°
20' * 1°/60' = 0.33° => 16° 20' = 16.33°
2) Deduce the trigonometric ratios from the verbal information.
You can form a triangle with
- horizontal leg x + 65 feet
- elevation angle 16.33°
- vertical leg height of the tree, h
=> trigonometric ratio: tan (16.33) = h /( x + 65) => h = (x+65) * tan(16.33)
You can form a second triangle with:
- horizontal leg x
- elevation angle 21.32°
- vertical leg height of the tree, h
=> trigonometric ratio: tan(21.32) = h / x => h = x * tan(21.32)
Now equal the two expressions for h:
(x+65)*tan(16.33) = x*tan(21.32)
=> x*tan(16.33) + 65*tan(16.33) = x*tan(21.32)
=> x*tan(21.32) - x*tan(16.33) = 65*tan(16.33)
=> x = 65*tan(16.33) / [ tan(21.32) - tan(16.33) ] = 195.73 feet
=> h = 195.73 * tan(21.32) = 76.39 feet.
Answer: 76.39 feet