<h2>Answer:</h2>
8.75 feet
<h2>
Step by step:</h2>
Given that a 12 foot ladder leans against a building seven feet above the ground.
By using trigonometry ratio, the angle between the ladder and the ground will be
SinØ = opposite/ hypothenus
SinØ = 7 / 12
SinØ = 0.58333
Ø = Sin^-1(0.58333)
Ø = 35.69 degree
At what height would an 15 foot ladder touch the building if both ladders form the same angle with the ground?
Using the same trigonometric ratios
SinØ = opposite/hypothenus
Sin 35.69 = opposite/ 15
Cross multiply
Opposite = 15 × sin 35.69
Opposite = 8.75 feet
Therefore, the ladder will touch the building if both ladders form the same angle with the ground at height 8.75 feet.
Answer:
y = 13.9
Step-by-step explanation:
It is given that
–5.7 + y = 8.2. -----(1)
Equation (1) is a linear equation in one variable.
LHS consists of a constant and a variable term
RHS consists of only constant term
<u>Find the value of y</u>
Solving the equation
-5.7 + y = 8.2
moving -5.7 to the RHS
y = 8.2 + 5.7
y = 13.9
Therefore the value of y = 13.9
-5.7 + y = 8.2
To find the volume, you need to do length times width times heightSO you have to do 5 times 5 times 6The volume is 150 cubic feetSince 150 cubic feet of this rectangular prism is 15 tonsyou can do 15 divided by 150so one cubic feet of this stone sculpture weight 0.1 tons
-3x+7y=5 (x2) -> -6x+14y=10
-6x+14y=10
-8x+14y=-10
——————— -
2x=20
x=20/20
x=1
Susbstitute x=1,
-8x+14y=-10
-8(1)+14y=-10
-8+14y=-10
14y=-10+8
14y=-2
y=-2/14
y=-1/7
I hope it helps