The height of the house from the ground to the beginning of the roof is about 10.92 feet
Step-by-step explanation:
In a right triangle, the relation between the hypotenuse and the two legs of it is c² = a² + b², where
- a and b are the legs of the right angle
- c is the hypotenuse
In the problem the ladder, the height of the house and the distance between the ladder and the height of the house formed a right triangle where the ladder is its hypotenuse, the height of the house and the distance between the base of the house and the base of the ladder are the legs of it
∵ The ladder is 12 feet
∴ c = 12
∵ The roofer puts the ladder 5 feet out from the side of the house
∴ a = 5
- We need to find the height of the house so let b represents
the height of house
∴ b = the height of the house
- By using the relation above
∵ (12)² = (5)² + b²
∴ 144 = 25 + b²
- Subtract 25 from both sides
∴ 119 = b²
- Take √ for both sides
∴ 10.91 ≅ b
The height of the house from the ground to the beginning of the roof is about 10.92 feet
Learn more:
You can learn more about the Pythagoras theorem in brainly.com/question/1238144
#LearnwithBrainly
Answer:
I think the sides of polygon are 6
Step-by-step explanation:
Because to form a polygon we need to the first to form a horizontal and vertical line,to find the number in that line,and join the line based on the numbers given, then you will get a polygon with 6 side
Answer:
Step-by-step explanation:
1. Chaos Theory
2. Law of Gravity
3. Fourier Transformation
4. The Square Root of -1
5. Logarithms
6. Maxwell Equations
7. Black-Scholes Equation
8. Navier-Stokes Equation
9. Normal Distribution
10. Euler’s Polyhedra Formula
11. Pythagorean Theorem
12. Calculus
13. Theory of Relativity, Mass–Energy Equivalence
B: 914-20(27.80)=X, multiply: 20(27.80)=556, 914-556=$358 :A.
C: 914-27.80=$886.20 :)
There are two circles with center A and D. The tangent line touches both point B and C. The given measurements are enough to solve for the missing value and the solution is shown below:
AB=9
BC=26
DC=8
Solve for the measurement of AC which the hypotenuse of legs AB and BC by Pythagorean theorem:
c²=a²+b²
c²=9²+26²
c=AC=27.51
Solve for angle of A
sin A=26/27.51
A=70.93°
Finally, we solve for the length of AD using SOH
sin 70.93°=AD/27.51
AD=26
The answer is 26.