(1.005)
2 answers:
You might be interested in
Answer:
y= -6x +1
Step-by-step explanation:
The equation of a line is usually written in the form of y=mx +c, where m is the gradient (or slope) and c is the y-intercept.
In order to find the equation of a line, you would need 2 things:
① Gradient (← can be found)
② Coordinate (✓ we have 2 coordinates here)
To find the gradient, use the gradient formula below:
Substitute the value of m into the equation:
y= -6x +c
To find the value of c, substitute a pair of coordinates.
When x=1, y= -5,
-5= -6(1) +c
c -6= -5
c= 6 -5
c= 1
Thus, the equation of the line is y= -6x +1.
Answer:
The height of the statue is <u>21.4 feet.</u>
Step-by-step explanation:
Given:
Distance of the person from the statue = 50 ft
Angle of elevation of the top of statue = 16°
Angle of depression of the bottom of statue = 8°
The diagram is drawn below.
In triangle ABC:
BC = 50 ft, ∠ABC = 16°
Using trigonometric formula;
Now, let us determine the height of man, 'x'.
Consider triangle BDE.
ED = 50 ft, ∠BDE = 8°
Using trigonometric formula;
Now, from the diagram, it is clear that, height of statue is given as:
