A ladder is leaning against a building so that the distance from the ground to the top of the ladder is one foot less than the length of the ladder. Find the length of the ladder if the distance from the bottom of the ladder to the building is 5 feet. A right triangle with the hypotenuse measuring x and one leg measuring x minus 1.

(1 point)

11 feet

14 feet

12 feet

13 feet

Length of ladder (hypotenuse) = 13 ft

Step-by-step explanation:

Given:

Length of base (base) = 5 ft

Length of ladder (hypotenuse) = a

Distance between ground and ladder top (perpendicular) = a - 1

Find:

Length of ladder

Computation:

a² = 5² + (a-1)²

a² = 25 + a² - 2a + 1

2a = 26

Length of ladder (hypotenuse) = 13 ft

-1/2 +2

step-by-step explanation:

2 & 7

step-by-step explanation:

he climbs 300 ft/hr at a constant rate. the peak is at 1,500 ft.

when going up, he reaches 600 ft in 2 hours. remember, that he is going in a constant rate. divide 600 with 300:

600/300 = 2

assuming that he takes the same route back (meaning that it's a 1500 ft route back, you can solve.

note also that you are solving when he gets back to 600 ft after he reaches the peak.

first, find the amount of hours it takes to get up the peak. divide the total amount (1500), with the ft/her (300) to get the amount of hours (x):

1500/300 = x

x = 5

it takes jamie 5 hours to get up. now, he is returning down, and reaches 600 (his current destination). remember that he climbs at a constant 300 ft/hr. divide 600 with 300:

600/300 = x

x = 2

now add the two numbers together.

x = 5 + 2 = 7

jamie takes 7 hours to go up the mountain and reach his current position when descending.

(total amount/constant rate) = (time).

remember that it is a constant rate, so in total, when he gets back down the mountain, it will take the same amount of time as when he goes up. the total amount for the round trip is: 5 + 5 = 10.

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