taytaymcmillian
Answered

Find the best solutions to your questions at Westonci.ca, the premier Q&A platform with a community of knowledgeable experts. Get quick and reliable solutions to your questions from a community of seasoned experts on our user-friendly platform. Join our platform to connect with experts ready to provide precise answers to your questions in different areas.

A 24-foot ladder rests against a house near a second story window 20 feet from the ground. Assume that the ladder and the house both sit on level ground.
The measure of the angle formed by the base of the ladder and level ground is?
The measure of the angle formed by the top of the ladder and the second story window is?
The distance, on level ground, between the base of the ladder and the house is?

Sagot :

Oi :) 
The measure of the angle formed by the base of the ladder and level ground is?

[tex] sin \alpha = \frac{cateto \ opposite}{cateto\ adjacent} \\ \\ sin \alpha = \frac{20}{24} \\ \\ sin \alpha =0.833 \\ \\ \alpha =sin^{-1} 0.833 \\ \\ \alpha =56.4^0[/tex]

The measure of the angle formed by the top of the ladder and the second story window is?
[tex]\alpha + \beta + 90^0=180 \\ \beta +56.4+90=180 \\ \beta =180-146.4 \\ \beta =33.6^0[/tex]

The distance, on level ground, between the base of the ladder and the house is?
Using Piagoras:

[tex]a^2+b^2=c^2 \\ a^2+20^2=24^2 \\ a^2+400=576 \\ a^2=576-400 \\ a^2=176 \\ a= \sqrt{176} \\ a=13.26 \ feet[/tex]

Please see attachment .
Boa Noite. Bons Estudos e Seja Feliz ! 
View image Аноним

Answer:

56

34

13

Step-by-step explanation:

Thanks for using our platform. We aim to provide accurate and up-to-date answers to all your queries. Come back soon. Thanks for using our service. We're always here to provide accurate and up-to-date answers to all your queries. Discover more at Westonci.ca. Return for the latest expert answers and updates on various topics.