From a point on the ground 12 ft from the base of a flagpole, the angle of elevation of the top of the pole
measures 53º. How tall is the flagpole?

Solution:

Given that,

From a point on the ground 12 ft from the base of a flagpole, the angle of elevation of the top of the pole  measures 53º

To find: height of flagpole

The figure is attached below

BC = distance between point and base of flagpole = 12

AB = height of flagpole = ?

By defintion of tan,

Thus height of flagpole is 15.9 feet

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)

the answer is 150.6

step-by-step explanation:

you multiply .02 by 30 and get .6.

and then you multiply 5.00 by 30 and get 150.

hope this !