4g^2 + 36g + 81 = 0
x1 = -4.5
x2 = -4.5
Answer:
The ladder must be placed at a distance of 33.2 feet from the bottom of the building
Step-by-step explanation:
From what we have here, we are looking at a right angled triangle with the hypotenuse which is the length of the ladder
The height of the child is 50 feet from ground level
So we need to get the third side of the triangle
We can get this by considering the use of Pythagoras’ theorem
This will give us the length of the third side of the triangle
From Pythagoras’ the square of the hypotenuse is equal the sum of the squares of the two other sides
Let the unknown side be x
Thus;
60^2 = 50^2 + x^2
x^2 = 60^2 - 50^2
x^2 = (60-50)(60+50)
x^2 = (10)(110)
x^2 = 1100
x = square root of 1100
x = 33.166
To the nearest tenth, this is 33.2 feet
Answer:
Step-by-step explanation:
You can create a right triangle out of this information and then use right triangle trig to solve.
We are given the height of the triangle as the height of the tower which is 150m.
We are given the angle of inclination as the degree the tower makes with the ground which is 72.
From the angle of 72 degrees, which is also known as the reference angle, we have the side across from it (the height) and we are looking for the side adjacent to it (how far from the base of the tower the keys will land). Side opposite the reference angle over side adjacent to the reference angle is the tangent ratio:
and, solving for x,

Make sure your calculator is in degree mode to solve this. Divide 150 by the tan(72) and find that
x = 48.7 m