The length of the ladder is 23.97 ft if the ladder is leaning against a building, forming a 70-degree angle from the ground.
What is trigonometry?
Trigonometry is a branch of mathematics that deals with the relationship between sides and angles of a right-angle triangle.
We have:
The distance between the base of the ladder and the base of the building:
d = 8.2 ft
The ladder is leaning against a building, forming a 70-degree angle from the ground.
Let's suppose the length of the ladder is L
Then L can be find from cosine trigonometric ratio:
Cos70° = d/L
Cos70° = 8.2/L
0.3420 = 8.2/L
L = 23.97 ft
Thus, the length of the ladder is 23.97 ft if the ladder is leaning against a building, forming a 70-degree angle from the ground.
Know more about trigonometry here:
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