![toricepeda82](/avatars/45906.jpg)
toricepeda82
25.02.2020 •
Mathematics
One end of a 13-foot-long ladder is resting on the top of a vertical wall. The distance from the foot of the ladder to the base of the wall is 7 feet less than the height of the wall. How high is the wall? Suggestion: Recall the Pythagorean theorem, which says for legs a and b and hypotenuse c of a right triangle that?
Solved
Show answers
More tips
- S Science and Technology Discovering the Anatomy of an LCD TV Screen...
- F Family and Home How to Raise a Genius? Discover the Secrets Here...
- F Food and Cooking How to Properly Cook Buckwheat?...
- H Health and Medicine How to Tan in a Tanning Bed? Tips and Recommendations...
- S Style and Beauty How to Sew a Balloon Skirt: Detailed Tutorial and Tips on Choosing the Right Fabric...
- P Philosophy Personal attitude towards Confession: how to prepare and undergo the procedure correctly?...
- F Food and Cooking How to Make Cottage Cheese at Home: Simple and Quick Recipe with Step By Step Instructions...
- H Health and Medicine Which Water Are You Drinking? Is it Worth Buying Bottled Water?...
- H Health and Medicine What Makes a Man a Man?...
- H Health and Medicine What to Take with You to the Maternity Hospital?...
Answers on questions: Mathematics
- M Mathematics Please help! Evaluate − 3 − ( − 4 ) − ( − 2 ) + 1 −3...
- P Physics Ahorizontal force of 200n is required to cause a 15kg block to slide up a 20° incline with an acceleration of 25cm/s^2 .find (a)the friction force on the block...
- M Mathematics The graph of function f is shown on the coordinate plane. Graph the line representing function g, if g is defined as shown below....
- E English What words or phrases show ethos...
- B Business Suppose that the LSRL for the appraised value (in thousands of dollars) and number of rooms for houses in East Meadow, New York is ŷ = 19.718x + 74.80. Predict...
Ответ:
the height of the wall is 12 feet
Step-by-step explanation:
The ladder forms a right angle triangle with the vertical wall and the ground. The length of the ladder represents the hypotenuse, c of the right angle triangle. The height from the top of the ladder to the base of the vertical wall represents the leg, a of the right angle triangle.
The distance from the bottom of the ladder to the base of the vertical wall represents the leg, b side of the right angle triangle.
The distance from the foot of the ladder to the base of the wall is 7 feet less than the height of the wall. This means that
a = b + 7
To determine the height of the wall,a we would apply Pythagoras theorem which is expressed as
Hypotenuse² = leg a² + leg b²
13² = (b + 7)² + b²
169 = b² + 14b + 49 + b²
2b² + 14b + 49 - 169 = 0
2b² + 14b - 120 = 0
Dividing through by 2, it becomes
b² + 7b - 60 = 0
b² + 12b - 5b - 60 = 0
b(b + 12) - 5(b + 12)
b - 5 = 0 or b + 12 = 0
b = 5 or b = - 12
The distance cannot be negative so b = 5
a = b + 7 = 5 + 7
a = 12
Ответ:
weak
Step-by-step explanation:
i dont be having fun at all