Answer:
The distance from the base of the ladder to the wall : 2.997 m
Further explanation
Triangles are flat fields bounded by 3 intersecting sides and 3 angles
This side can be the same length or different.
For right triangle we can use it
SOH stands for Sine = Opposite ÷ Hypotenuse.
CAH stands for Cosine = Adjacent ÷ Hypotenuse.
TOA stands for Tangent = Opposite ÷ Adjacent.
Given
The opposite side: the height of the building = h
The adjacent: the horizontal distance between the ladder and the wall
The angle between the ladder and the ground : 68 °
Solution
we use CAH to solve the distance from the base of the ladder to the wall
Cos θ = Adjacent ÷ Hypotenuse
\begin{gathered}cos\:68=\dfrac{x}{8}\\\\x=\boxed{\bold{2.997\:m}}\end{gathered}
Learn more
the measure of the three angles
brainly.ph/question/2060657
