Answer:
Angle made by ladder with the ground is 59.03 inches and the length of the ladder is 58.3 inches
Step-by-step explanation:
It is given that a ladder is placed 30 inches from a wall. It touches the wall at a height of 50 inches from the ground. We have to find the angle made by the ladder with the ground and the length of the ladder.
From the attached figure it is clear that,
AC is the height of ladder
AB is the height of wall
Using trigonometry in triangle ABC as,
[tex]tan\ \theta=\dfrac{50}{30}[/tex]
[tex]\theta=59.03\ degrees[/tex]
So, the angle made by the ladder with the ground is 59.03 degrees. For finding the length of the ladder, we can use Pythagoras theorem as :
[tex]AC^2=AB^2+BC^2[/tex]
[tex]AC^2=50^2+30^2[/tex]
[tex]AC=58.30\ inches[/tex]
Hence, the length of the ladder is 58.3 inches.
