m
=
−
2
, (
3,
5
)
Find the value of b
using the formula for the equation of a line.
b
=
11
Now that the values of
m (slope) and b
(y-intercept) are known, substitute them into
y
=
m
x
+
b to find the equation of the line. y
=
−
2
x
+
11
Answer:
The angle of elevation of the sun is 33.7⁰
Step-by-step explanation:
let the height of the tree, T = 10 foot
length of the shadow created by the tree, B = 15 feet long
Height of the tree and the shadow of the tree forms a right angle triangle with the remaining side that joins the two which is known as hypotenuse.
Let the remaining side, hypotenuse, L = ?
Apply Pythagoras theorem;
L ² = T² + B²
L ² = 10² + 15²
L ² = 325
L = √325
L = 18.03 ft
The angle of elevation of the sun, is the angle facing the height of the tree with the length of the shadow of the tree as adjacent of the triangle.
Let the angle of elevation = θ
tan θ = opp / adj
tan θ = 10 / 15
tan θ = 0.66667
θ = tan ⁻¹ (0.66667)
θ = 33.7⁰
Therefore, the angle of elevation of the sun is 33.7⁰
The answer is 31.4. I hope this helps.
Answer:
x = y/5 - 2
Step-by-step explanation:
y = 5x+10
Express x in terms of y
5x = y - 10
x = y/5 - 2
Answer:
301 acres
Step-by-step explanation:
43,000 acres of forest
0.7% is old-growth
0.7% = 0.007
43,000 * 0.007 = 301 acres
