Given the points (–3,k)(–3,k) and (2,0)(2,0), for which values of k would the distance between the points be 34−−√34 ?

The possible values of k are 3 and -3

Step-by-step explanation:

Given

Points: (-3,k) and (2,0)

Distance between them = √34

Required

Determine the value of k

The distance between two points is calculated as thus;

Let

Substitute these values in the given formula

Evaluate the brackets

Recall that Distance = √34

So; we have

Take square of both sides

Collect Like Terms

Take square root of both sides

Hence, the possible values of k are 3 and -3

answer:  

step-by-step explanation:

here x represents the height of the pole,

and, the height of the shadow of the pole is 12 feet.

also, the angle of elevation from the top of the pole is 40°,

therefore,

by the low of sine,

which is the required equation for finding the value of x,

the answer to this is a. a^2 + b^2 = c^2