A 12 foot ladder is leaning against a house. The bottom of the ladder is 3 ft from the house. How high does the top of the ladder reach? Round to the nearest
tenth.

h = 11.61 foot

Step-by-step explanation:

Given that,

The length of a ladder, l = 12 foot

The bottom of the ladder is 3 ft from  the house.

We need to find how high does the top of the ladder reach. Let it is h. The length of the ladder will be the hypotenuse. 3 ft will be the base. So,

So, the top of the ladder is at a height of .

2? if not the correct answer you might need to provide more information

step-by-step explanation:

p ÷ r = tan(x)

step-by-step explanation:

given that there is a figure below shows a right triangle: a right triangle is shown with hypotenuse equal to q units and the length of the legs equal to p units and r units.

graph is missing so i will create the graph as per given information.

the angle between the legs having lengths p units and q units is y degrees. the angle between the legs having lengths r units and q units is x degrees.

now we need to find about what is p ÷ r equal to.

so we can use trigonometric ratio tan(x)=[altitude]/[base] to find the value of p ÷ r, because p is the altitude and r is the base.

p ÷ r=tan(x)

hence final answer is p ÷ r=tan(x).