Answer:
Refer to the explanation!
Step-by-step explanation:
We know the the angle where the ladder touches the wall at the top is a 70 degree angle, which must mean that the ladder touching the floor would be a 20 degree angle. This would be OPPOSITE / ADJACENT or TANGENT (TAN).
The TAN(20) = 2.2, when 2.2 is multiplied by the height of the ladder (1.4), you get 3.08 but rounding to the nearest tenth of a meter gives you 3.1m as the length of the ladder.
Answer: 3.1m
The length of the ladder is 4.1 meters.
The ladder and the wall forms a right-angled triangle. The ladder is represented with the hypotenuse of the triangle. The distance of the ladder from the wall is the base of the triangle.
In order to determine the length of the ladder, the acronym SOCAHTOA would be examined. We are to determine the hypotenuse given the adjacent side. So cos would be used.
Cos 70 = adjacent / hypotenuse
cos 70 = 1.4 / h
0.3420 = 1.4/h
h = 1.4 / 0.3420
h = 4.1 meters
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