Apole, 4m high, as shown in figure 2, stands, vertically, on
level ground. if the sun is at an angle of 30° to the horizontal,
how long is the shadow.

use the tangent ratio to solve the problem.

6.92 m

Step-by-step explanation:

Assuming the image is the attached below, we have a right triangle, where one of the legs is the 4 m high pole and the other leg the shadow.

Now, the tangent function is defined as:

Since the Sun is at an angle and the adjacent leg is the shadow we have:

Isolating :

This is the length of the shadow

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is