A ladder 3 m long leans against a wall and reaches 2 m up the wall. What angle does the ladder make with the ground?

Here. I drew a triangle just for this problem. :) You can find it in attachments.
To find the angle, we must use the sine function. To find the angle, we must know the sine of the angle first. The formula for the angle we are trying to find is:
(Forgot to mention, **let the angle = x) **
s in x = 3 2 ​
= s in x = 0.3333....
Knowing this, we can now derive that:
x = s i n − 1 0.3333
Using our scientific calculators, we find that:
x = 19.47122 °
Which is our final answer. You may round accordingly.
Thank you, and I hope that helped. :)

Answered by Cam943 | 2024-06-10

To find the angle the ladder makes with the ground, we use the sine function. The calculation involves using the opposite side (2 m) and the hypotenuse (3 m), leading to an angle of approximately 41.81 degrees. Therefore, the angle is about 41.81 degrees.
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Answered by Cam943 | 2024-12-23