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.

arithmetic sequence

step-by-step explanation:

given that a sequence has terms as

19, 15, 11,

this is represented on a graph

the pattern indicates that the sequence is an arithmetic sequence with i term

a=19 and common difference d =-4

any general term

thus the sequence is reduced by 4 for each successive term starting from 1 and nth term is

24-5n.

first negative term would start after 5th term

5th term =24-25< 0

from 5th term onwards the sequence would be negative.

triangle abc is reflected on the line x=-6.5 then reflected again on the x axis

step-by-step explanation: