Question

Carrie place is a 10 foot ladder against the wall if the ladder makes an angle of 65° with the level ground how far up the wall is the top of the ladder

Answer 1

Explanation:

The ladder forms a right angle triangle with the wall and the ground. The length of the ladder represents the hypotenuse of the right angle triangle. The height from the top of the ladder to the base of the building represents the opposite side of the right angle triangle.

The distance from the bottom of the ladder to the base of the building represents the adjacent side of the right angle triangle.

To determine the distance from the top of the ladder, h from the base, we would apply the Sine trigonometric ratio.

Sin θ, = opposite side/hypotenuse. Therefore,

Sin 65 = h/10

h = 10Sin65 = 10 × 0.906

h = 9.06 feet

Answer 2

9......

Explanation:

A right-angled triangle in the image below will be formed.

Now, we will make use of the trigonometric rule......

But before that, how do know the perfect rule to apply so as to solve the problem?

#. The side facing the angle 65 deg. is called the Opposite side

#. The side facing the angle 90 deg. is called the Hypotenuse

#. While the last side is called the Adjacent

Now, Looking at our question, we were given the Hypotenuse and asked to look for the Opposite side....This is where we apply the trigonometric rule

Sine(θ)=Opposite/Hypotenuse

Therefore,

Sine 64 = Opposite/10

Opposite = 10 x sine64

Opposite = 10 x 0.9

Opposite = 9cm