A 12 foot ladder is leaning against a brick wall. The top of the ladder touches the wall 6 ft above the ground. What is the angle form from the base of the ladder to the ground
Home
/
A 12 foot ladder is leaning against a brick wall. The top of the ladder touches the wall 6 ft above the
Answer:
4323434343
Step-by-step explanation:3
Verified answer
Answer:
To find the angle formed between the base of the ladder and the ground, we can use trigonometry. The ladder, the wall, and the ground form a right triangle. The height of the wall is given as 6 feet, and the length of the ladder is 12 feet. Let's denote the angle we want to find as θ.
Using trigonometric functions, we can relate the sides of a right triangle:
sin(θ) = opposite/hypotenuse
cos(θ) = adjacent/hypotenuse
tan(θ) = opposite/adjacent
In this case, the opposite side is the height of the wall (6 ft), and the hypotenuse is the length of the ladder (12 ft). We want to find the angle θ, so we'll use the sine function:
sin(θ) = 6/12
Simplifying this equation, we have:
sin(θ) = 1/2
Now, to find the angle θ, we can take the inverse sine (also known as arcsine) of both sides:
θ = arcsin(1/2)
Using a calculator or reference table, we find that arcsin(1/2) is equal to 30 degrees.
Therefore, the angle formed from the base of the ladder to the ground is 30 degrees.