Given:
• Height of ladder = 7 m
,
• DIstance of foot of ladder to the wall = 4.5 m
Let's find the angle of elevation of the ladder.
First sketch the figure representing this situation.
Where x is the angle of elevation of the ladder.
Let's solve for x.
To solve for x, apply the Trigonometric ratio formula for cosine.
Where:
• Adjacent side is the side adjacent to the angle x = 4.5
,
• Hypotenuse is the longest side = 7
,
• θ is the angle = x
Hence, we have:
Take the cos inverse of both sides:
Therefore, the angle of elevation of the ladder is 50 degrees.
ANSWER:
c. 50 degrees