Aladder is leaning against the very top of a building. the base of the ladder is 18 feet from the building and is leaning at a 60 degree angle. how tall is the building?

The height of the building is 18 feet .

Step-by-step explanation:

Given as :

The distance of the base of ladder from building = d = 18 feet

The ladder is leaning at the angle = Ф = 60°

Let the height of the building = h feet

Now, From figure

Tan angle =

Or,Tan Ф =

Or,Tan 60° =

Or, =

∴ h = 18 feet

So, The height of the building = h = 18 feet

Hence, The height of the building is 18 feet . Answer

step-by-step explanation:

you divide the denominator by the numerator on both sides and if the quotients are equal then the fractions are equivalent

answer is 8x+24

area of vanessa's patio = length × width

given, length = (3x² + 5x + 10)

width = (x² - 3x - 1)

area of vanessa's patio = (3x² + 5x + 10)(x² - 3x - 1)

= 3x²(x² - 3x - 1) + 5x(x² - 3x - 1) + 10(x² - 3x - 1)

= 3x⁴ - 9x³ - 3x² + 5x³ - 15x² - 5x + 10x² - 30x - 10

= 3x⁴ - 4x³ - 8x² - 35x - 10

hence, expression of vanessa's patio = (3x⁴ - 4x³ - 8x² - 35x - 10)