Answer :
Answer: D. 9.2 m
The angle of elevation of a ladder leaning against a wall is 60º and the foot of the ladder is 4.6 m away from the wall. The length of the ladder is:____________A. 2.3 mB. 4.6 mC. 7.8 mD. 9.2 m
Step-by-step explanation:
Given;
Angle of elevation A= 60°
Distance from the foot of the ladder to the wall x= 4.6m
Length of the ladder = L
CosA = adjacent/hypothenus = x/L
L = x/cosA
L = 4.6/cos60°
L = 9.2m
The length of the ladder is 9.2m
Answer: 9.2m
Explanation: According to SOH CAH TOA
Cos 60° = Adjacent/Hypotenuse (CAH)
Given theta = 60° which is the elevation angle
Adjacent side which is the base of the set up (distance from the ladder to the wall) is 4.6m
Cos60° = Adjacent/Hypotenuse
Cos 60° = 4.6/Hypotenuse
Hypotenuse = 4.6/cos60°
Hypotenuse = 9.2m
The hypotenuse always the slanting and longest side of the set up which is the ladder according to the question.