A ladder is placed 30 inches from a wall. It touches the wall at a height of 50 inches from the ground.
2 answers:
Answer:
angle made by the ladder with the ground is 59°.
Step-by-step explanation:
Ladder AC is placed 30 inches from a wall
It touches the wall as a height of 50 meters from the ground.
We have to find ∠C.
From the right angle triangle ABC.
Tan C =
Tan C =
C =
= 59°
Therefore, angle made by the ladder with the ground is 59°.
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Answer:
1.49
Step-by-step explanation:
In order to find the slope of the tangent line to a given equation, and in a given point, we need to:
1. Find the first derivative of the given function.
2. Evaluate the first derivative function in the given point.
1. Let's find the first derivative of the given function:
The original function is
But remeber that the derivative of is
so,
2. Let's evaluate the first derivative function in the given point
The given point is (0.4,1.49) so:
Notice that the calculated slope of the tangent line is equal to the y-coordinate of the given point because f'(x)=f(x). In conclusion, the slope of the tangent line is equal to 1.49.