Answered

Westonci.ca connects you with experts who provide insightful answers to your questions. Join us today and start learning! Join our Q&A platform to get precise answers from experts in diverse fields and enhance your understanding. Explore comprehensive solutions to your questions from a wide range of professionals on our user-friendly platform.

SOMEONE PLEASE HELP ASAP NEEDA TURN IT IN IM GIVING 100 POINTS AND BRAINLIEST!!!

A 20 foot ladder is placed against a wall at a 75 degree angle with the ground. The wall is perpendicular to the ground.

PART A: How high on the wall, in feet, will the ladder reach? Round your answer to the nearest tenth. Show your work.

PART B: What is the distance, in feet, from the wall to the base of the ladder? Show your work.

Sagot :

Hrishii

Answer:

Part A)

Height = 19.3 feet

Part B)

Distance = 5.2 feet

Step-by-step explanation:

Part A)

Let ladder reaches upto the h height of the wall.

[tex] \therefore \sin \theta =\frac{h}{length\: of\: the \:ladder} [/tex]

[tex] \therefore \sin 75\degree =\frac{h}{20} [/tex]

[tex] \therefore 0.9659258263 =\frac{h}{20} [/tex]

[tex] \therefore 0.9659258263\times 20 = h [/tex]

[tex] \therefore 19.3185165 \: ft= h [/tex]

[tex] \therefore h = 19.3 \: ft= h [/tex]

Part B)

Let the distance from the wall to the base of the ladder be x feet.

[tex] \therefore \cos \theta =\frac{x}{length\: of\: the \:ladder} [/tex]

[tex] \therefore \cos 75\degree =\frac{x}{20} [/tex]

[tex] \therefore 0.2588190451 =\frac{x}{20} [/tex]

[tex] \therefore 0.2588190451\times 20 = x [/tex]

[tex] \therefore 5.1763809 \: ft= x [/tex]

[tex] \therefore x = 5.2 \: ft [/tex]

Thank you for visiting. Our goal is to provide the most accurate answers for all your informational needs. Come back soon. We hope you found what you were looking for. Feel free to revisit us for more answers and updated information. Westonci.ca is your go-to source for reliable answers. Return soon for more expert insights.