Alamppost, cab, bent at point a after a storm. the tip of the lamppost touched the ground at point c, as shown below: triangle abc has measure of angle c equal to 60 degrees, measure of angle abc equal to 90 degrees, and length of bc equal to 14 feet. what is the height, in feet, of the portion ab of the lamppost?

The height of the portion AB of the lamppost is 14 tan(60°) or 14√3 feet.

Step-by-step explanation:

It is given that the tip of the lamppost touched the ground at point C, as shown below:

Triangle ABC has measure of angle C equal to 60 degrees, measure of angle ABC equal to 90 degrees, and length of BC equal to 14 feet.

Here, AB is perpendicular, BC is base and AC is hypotenuse.

In a right angled triangle,

Therefore the height of the portion AB of the lamppost is 14 tan(60°) or 14√3 feet.

x = 17

step-by-step explanation:

in the given figure, two triangles are inscribed in a circle where ∠bae ≅ ∠dae which makes the side be and de equal so we can write it as:

3x - 24 = x + 10

solving this equation for x to get:

3x - x = 10 + 24

2x = 34

x = 34/2

x = 17

therefore, the value of x = 17.

529 and 531

step-by-step explanation: