Question

A 50 loot ladder is leaning against a building. If the base of the ladder is 35 feet from the base of the building, how far up the building is does the ladder rest? Round to the nearest hundredth (two decimal places)​

Answer 1

Answer:

The ladder is 35.71 feet up the building

Step-by-step explanation:

Here, we want to calculate how far up the building is the ladder placed

We should picture a right angled triangle with hypotenuse 50 and one of the other sides as 35

To find the height in this case, we proceed to use Pythagoras’ theorem which states that the square of the hypotenuse equals the sum of the squares of the two other sides

In this case, let the height be

50^2 = 35^2 + h^2

h^2 = 50^2-35^2

h^2 = (50+35)(50-35)

h^2 = (85)(15)

h^2 = 1275

h = square root of 1275

h = 35.71 ft