Aladder that is 26 feet in length touches a house at a height of 24 feet from the ground. how far from the house is the base of the ladder?

The ladder is placed outside the fence and it passes over the fence and then leans on the side of building.

Let the distance from foot of ladder to the fence be x feet

tan 63 = 8/x or x = 8 tan63 = 15.7 ft

Total distance from the foot of ladder to the building = 15.7 + 6 = 21.7 ft

Now cos63 = 21.7/length of ladder

Length of ladder = 21.7/cos63 = 47.8 feet

Step-by-step explanation:

the inequality is:

250c+180g≥950

step-by-step explanation:

let c denotes the number of days in a week   miyoko worked as a cryptographer.

and g denotes the number of days in a week she works as a geologist.

now we are given that she earns $250 for every day she works as a cryptographer,and earns $180 for every day she works as a geologist.

now miyoko's goal is to earn more than $950 this week.

hence, the inequality could be represented as:

250c+180g≥950