angellinelittle
17.07.2019 •
Mathematics
One end of a ladder 32 feet long is placed 10 feet from the outer wall of a building that stands on the ground level. how far up the building to the nearest foot will the ladder reach?
Solved
Show answers
More tips
- F Food and Cooking How to Choose the Right Olive Oil: A Comprehensive Guide...
- P Philosophy Is Everything We Strive for Eventually Achieved and Destroyed?...
- S Society and Politics Understanding Politics and Its Role in the Development of Civilization...
- P Philosophy Why Did God Create Man and Place Him in Obscurity?...
- S Society and Politics Skoptsy: Who They Are and How They Perform Castration?...
- O Other Childhood Fears: What Many of Us Experienced...
- P Philosophy What is Something for you?...
- H Health and Medicine Why Do Humans Have One Heart?...
- P Philosophy Unbelievable stories of encounters with otherworldly forces...
- O Other How to Accidentally Get a Rare Coin with Your Change and How to Know Its Value?...
Answers on questions: Mathematics
- M Mathematics well I have been trying to ask you questions all this time and you won t tell me anything because when I goo to sigh up it says that I can t so there is no point of sending...
- M Mathematics If you conducted a survey of favorite foods of class members, what would be the size of the sample...
- M Mathematics If 2 ppl went up a 35in long ladder and someone went up a 12ft long ladder who is up higher?...
- H History Consider what you know about economies particularly the rules of supply and demand Images Aand show Information about the supply of books in Europe. Based on these images,...
- E English Write down a film review of a science fiction movie...
- C Chemistry Carbon dioxide can be commercially prepared by heating chalk, or calcium carbonate. How many moles of carbon dioxide can be produced when 3.05 moles of calcium carbonate...
Ответ:
30 ft
Step-by-step explanation:
This is a classic right triangle problem, where the length of the ladder represents the hypotenuse, where the ladder is lengthwise from the building is the base of the triangle, and what we are looking for is the height of the triangle. Pythagorean's Theorem will help us find this length.
so
1024 - 100 = y^2 and
y = 30.4 so 30 feet
Ответ:
Correct cos(α - β) = 140/221
Step-by-step explanation:
cosα = ±√(1 - sin²α) => cosα = ±√(1 - (-5/13)²) = ±√(1 - (25/169)
cosα = ±√(169 -25)/169 = ± √144/169
cosα = ± 12/13 since it is given that α (alpha) ends in the third quadrant
we choose cosα = - 12/13
we know that is tanβ = sinβ/cosβ = - 8/15 or sinβ : cosβ = 8 : 15 =>
sinβ = 8k and cosβ = 15k where k is the coefficient of proportionality
we know the basic trigonometric equality
sin²β + cos²β = 1 when we replace the coefficients we get
(8k)² + (15k)² = 1 => 64k² + 225k² = 1 => 289k² = 1 => k² = 1/289 =>
k = 1/17 now we get sinβ and cosβ
since it is given that β (beta) ends in the second quadrant
sinβ = 8/17 and cosβ = - 15/17
As we know it is:
cos(α - β) = cosα cosβ + sinα sinβ = - 12/13 · (- 15/17) + (- 5/13) · 8/17 =>
cos(α - β) = 180/221 - 40/221 = 140/221
cos(α - β) = 140/221
God is with you!!!