Question: MITT PRACTICE ANOTHER A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at

 MITT PRACTICE ANOTHER A ladder 10 ft long rests against a

MITT PRACTICE ANOTHER A ladder 10 ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of 1.3 ft/s, how fast (In rad/s) Is the angle (in radians) between the ladder and the ground changing when the bottom of the ladder is 8 it from the wall? (That is, find the angle's rate of change when the bottom of the ladder is 8 ft from the wall.) Wall | 10 y X Ground @ I X rad/s Enter a fraction, Integer, or exact decimal. Do not approximate. Enhanced Feedback Please try again. Let 0 denote the angle between the ladder and the ground. You should use the appropriate trigonometric function to relate the angle ( with and then differentiate (with respect to t) the relation on both sides using the Chain Rule. You will also need to use the Pythagorean Theorem to find the valu y that will allow you to find the trigonometric values needed. Note that negative rate means the quantity is decreasing

Step by Step Solution

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Mathematics Questions!