The given equation of line is
Which is of the form
Where m is the slope which is 3 here.
And slope of parallel lines are equal. So slope of the required line is 3 too .
Now we use slope intercept form, and plug the values of the slope and the given point and solve for b, that is
So we have m =3 and b=4. Therefore required equation of line is
Answer:
Maximum safe height can be reached by ladder = 15.03. ft
Step-by-step explanation:
Given,
Let's assume the maximum safe height of wall = h
angle formed between ladder and ground = 70°
length of ladder = 16 ft
From the given data, it can be seen that ladder will form a right angle triangle structure with the wall
So,from the concept of trigonometry,
=> h = 16 x 0.9396
=> h = 15.03 ft
So, the maximum safe height that can be reached by the ladder will be 15.03 ft.
Answer:
x = 25
Step-by-step explanation:
The volume (V) of the triangular prism is calculated as
V = Al ( A is the area of the triangular face and l is its length )
A = bh = 0.5 × 5 × 8 = 20 cm² , then
V = 20 × 20 = 400 cm³
The volume of the cuboid is calculated as
V = lbh = 3.2 × 5 × x = 16x
Given V = 400 cm³ , then
16x = 400 ( divide both sides by 16 )
x = 25