A 15-ft. ladder leans against a building. The bottom of the ladder is 7 ft. from the building. How high is the

Question

top of the ladder? Round to 2 decimal places?

Answer 1

this is too easy, but anyways.

the leaning ladder against the wall is modeled by a right-angled triangle

the hypoteneuse is 15ft
the base is 7ft
the height is unknown

Using Pythagoras' theorem:

a^2 +b^2 = c^2 (c is the hypoteneuse, b the base )
so
a^2 +7^2 = 15^2
a^2 = 176
a = sqrt(176)
a = 13.27ft = height of ladder

Answer 2

This problem can be solved by Pythagorean Theorem.

The formula

c² = a² + b²

Since the statement provides information for c and a. The formula changes. Solve for b.

c² = a² + b²
- a² - a²

Subtract -a from both sides

c² - a² = b²

this is the equation to use

√15² - 7² = b²

√225 - 49 = b²

√176 = b²

The number inside the radical sign √176 is called the radicand

13.26649916 = b

b = 13.27 rounded to two decimal places

The answer is b = 13.27

The building is 13.27 feet high.

Answer 3

You see, this is a right triangle. The bottom of the triangle is 7ft, the hypotenuse(the longest part of a right triangle) is 15ft. So you use the Pythagorean Theorem:
A^2+B^2=C^2
7^2+B^2=15^2
7*7+B*B=15*15
49+B*B=225
B*B=225-49
B*B=176
B=Square root of (176)
B=about 13.27

Answer 4

use a^2 + b^2 = c^2

a = 7, so a^2 = 49
b= the height of the top of the ladder.
c = 15, so c^2 = 225

49 + b^2 = 225
b^2 = 225 - 49
b^2 = 176
take the square root of each side and you get that

b = 13.26 ft

Answer 5

15 ft

Answer 6

7 squared (49) +x squared = 15 squared (225)

so x sqared is 176. square root of 176 is 13.27

Answer 7

b=sqrt(225-49)
b=13.27

Answer 8

(15*15)-(7*7) = 176ft
(13.266499*13.266499)=176ft

the answer is 13.27ft

Answer 9

use the formula a2 + b2 = c2. ( the 2 is should be squared).

Answer 10

13.27 ft