use matlab not handwriting and make sure to label theanswers

Exercise 4: The ladder problem A two-dimensional contractor would like to take a ladder down a hallway, but must negotiate a corner. The dimensionss of the hallway are illustrated width is 8 feet, the other 5 feet. What is the longest ladder that the contractor can successfully get around the corner and through the hallway? Figure 3: Illustration of the longest ladder, /(t) x+y, that can fit at an angle t Figure 3 also has drawn on it the longest possible ladder that can fit for a given angle t. This ladder will touch in three points: the corner, and the tw hallway We focus on the function /(t) which gives the length of the longest ladder that can fit for a given angle t 1. Find a formula for /(t)=x+y: Select exactly one of the choices. |(t) 5tan(t) 8cot(t) O 1(t) 5/cos(t)8/sin(t) |(t) 5cos(t) 8 sin(t) I(t) (52 cos(t))1/2 (82 sin(t))/2 2. What is the length of the longest ladder that can fit when the angle is Tt/6 radians (30 degrees)? Type here to search Rectangular Snip 2. What is the length of the longest ladder that can fit when the angle is T/6 radians (30 degrees)? Enter a number 3. A 20 foot ladder will get stuck on its way around the corner of the hallway – at one angle if carried through the 8′ hallway, and at another angle through the 5′ hallwa What are these two angles? Enter a list of numbers separated by space or commas. 4. Plot a graph of /(t) over a reasonable viewing window. Find its minimum value and locate thet value for which this happens. What is the angle t? (Answer in radians) Enter a number 5. If a ladder is longer than this minimum value, there will be angles for which it won’t fit around the corner. For ladders shorter than this minimum value this won’t be the case. Use this to find the length of the longest ladder the contractor can carry around the corner. The longest ladder is: Enter a number Show transcribed image text Exercise 4: The ladder problem A two-dimensional contractor would like to take a ladder down a hallway, but must negotiate a corner. The dimensionss of the hallway are illustrated width is 8 feet, the other 5 feet. What is the longest ladder that the contractor can successfully get around the corner and through the hallway? Figure 3: Illustration of the longest ladder, /(t) x+y, that can fit at an angle t Figure 3 also has drawn on it the longest possible ladder that can fit for a given angle t. This ladder will touch in three points: the corner, and the tw hallway We focus on the function /(t) which gives the length of the longest ladder that can fit for a given angle t 1. Find a formula for /(t)=x+y: Select exactly one of the choices. |(t) 5tan(t) 8cot(t) O 1(t) 5/cos(t)8/sin(t) |(t) 5cos(t) 8 sin(t) I(t) (52 cos(t))1/2 (82 sin(t))/2 2. What is the length of the longest ladder that can fit when the angle is Tt/6 radians (30 degrees)? Type here to search

Rectangular Snip 2. What is the length of the longest ladder that can fit when the angle is T/6 radians (30 degrees)? Enter a number 3. A 20 foot ladder will get stuck on its way around the corner of the hallway – at one angle if carried through the 8′ hallway, and at another angle through the 5′ hallwa What are these two angles? Enter a list of numbers separated by space or commas. 4. Plot a graph of /(t) over a reasonable viewing window. Find its minimum value and locate thet value for which this happens. What is the angle t? (Answer in radians) Enter a number 5. If a ladder is longer than this minimum value, there will be angles for which it won’t fit around the corner. For ladders shorter than this minimum value this won’t be the case. Use this to find the length of the longest ladder the contractor can carry around the corner. The longest ladder is: Enter a number

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