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y=(1/5)x+12/5
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Answer:
90
Step-by-step explanation:
Answer:
59.04°
58.31 inches
Step-by-step explanation:
The solution triangle is attached below :
Since we have a right angled triangle, we can apply trigonometry to obtain the angle ladder makes with the ground;
Let the angle = θ
Tanθ = opposite / Adjacent
Tanθ = 50/30
θ = tan^-1(50/30)
θ = 59.036°
θ = 59.04°
The length of ladder can be obtained using Pythagoras :
Length of ladder is the hypotenus :
Hence,
Hypotenus = √(adjacent² + opposite²)
Hypotenus = √(50² + 30²)
Hypotenus = √(2500 + 900)
Hypotenus = 58.309
Length of ladder = 58.31 inches
Answer:
x = 5sqrt(3)
Step-by-step explanation:
This is a right triangle. We can use the Pythagorean theorem to solve
a^2 +b^2 = c^2
5^2 +x^2 = 10^2
25+x^2 = 100
Subtract 25 from each side
25-25 +x^2 = 100-25
x^2 = 75
Take the square root of each side
sqrt(x^2) = sqrt(75)
x = sqrt(3*25)
Remember sqrt(ab) = sqrt(a)sqrt(b)
x = sqrt(5)sqrt(3)
x = 5sqrt(3)