Answer:
39.6 m
Step-by-step explanation:
See the attached diagram.
Let AB is the height of the tree and CD is the height of the council arborist.
So, we have to determine AB while CD is given to be 1.8 m.
If the position of the sun at the time is such that the inclination of ray of light is x Degrees, then the shadow of the arborist is CE = 1.5 m and the shadow of the tree is AE = 33 m {Given}
As Δ ABE and Δ CDE are similar triangles, so, we can write
⇒
⇒ y = 39.6 m
Hence, the height of the tree is 39.6 m. (Answer)
Answer:
Segment BF = 15
Step-by-step explanation:
Segment DE is parallel to segment BC
Segment EF is parallel to segment AB.
Because segment EF is parallel to segment AB, triangles ADE and EFC are proportional. We must find the scale factor which these two triangles are proportional.
24 ÷ 20 = 1.2
Scale Factor = 1.2
18 ÷ 1.2 = 15
Segment EF is parallel to segment AB so segment EF is congruent to segment DB.
hope this helps! ps. im very sorry about the previous wrong question, but i hope this is right (,,>﹏<,,) xx
Answer:

Step-by-step explanation:
To find the angle C given the equation
, use the "arctan" function [which is the inverse function of tangent] on both sides of the equation as shown below:

This can be rounded to the nearest degree as: 
Answer:
x= -1
Step-by-step explanation:
x+5=4 or x+5= -4
x= -9 or x= -1
Answer:
y = - 2x + 1
Step-by-step explanation:
Parallels line have the same slope, when an equation is in the form y= mx + b, m is the slope. In this problem slope = - 2
Now with the slope what is missing is the y-intercept, the problem says that the line contains the point (-2, 5), replacing that point in the equation you can solve it to find the y-intercept
y = mx + b
5 = (-2)(-2) + b
5 = 4 + b
1 + b
y = - 2x +1