Answer:
7m
Step-by-step explanation:
1. find ratio of small to large triangle (6:18 = 1:3 / 8:24 = 1:3)
2. find blank side of smaller triangle (if ratio is 1:3 then take the large triangle side that matches the smaller unknown side and divide by 3 to size down the line to find unknown side)
Answer = 7m
To complete all 42 laps it will take him 10.5 pounds of gas. so if he only has 5.92 pounds then he wont finish.
Answer:
Step-by-step explanation:
- Principal = $480
- Interest rate = 7% compounded
- Compound number = 4 per year
- Time = 9 years
<u>Final amount is:</u>
- 480*(1 + 0.07/4)^(9*4) =
- 480(1.0175)^36 =
- $896.36
The height of the tree to the nearest tenth of foot is 20.5 ft
<h3>Right angle triangle:</h3>
A right angle triangle has one of its angles as 90 degrees. The sides can be found using Pythagoras theorem.
The side of the base triangle can be found using Pythagoras theorem.
c² = a² + b²
c² = 9.2² + 5.8²
c² = 84.64 + 33.64
c = 10.9 ft
using similar triangle ratio,
5.8 / 10.9 = 10.9 / x + 5.8
5.8x = 118.81 - 33.64
x = 85.17 / 5.8
x = 14.6844827586
x = 14.7 ft
The height of the tree to the nearest foot is 14.7 + 5.8 = 20.5 ft
learn more on right angle triangle here: brainly.com/question/26909069
The given question describes a right triangle with with one of the angles as 20 degrees and the side adjacent to the angle 20 degrees is of length 5,000 feet. We are looking for the length of the side opposite the angle 20 degrees.
Let the required length be x, then

Therefore, the height of the airplane above the tower is 1,819.85 feet.