To understand the problem clearly, you have to illustrate it. Based on my understanding, the problem goes like this. Please refer to the picture. When the sun is high up in the sky, it causes a shadow to form. In the picture, this is represented by the bold horizontal line to the ground that measures 27.6 m. You want to find the angle of elevation of the sun, denoted as x°. With the height of the tree being 18 m, you create a right triangle. Therefore, we can apply the pythagorean theorems.
With respect to the unknown angle, you know the opposite side (18 m) and the adjacent side (27.6 m). So, it would be easier to use the tangent function.
tan x° = opposite/adjacent = 18/27.6
x = tan^-1 (18/27.6)
x = 33.11°
Answer:
d = |4--2| =6
Step-by-step explanation:
Because the points have the same y value, the distance is only due to the x coordinates
d = |x2-x1|
d = |4--2|
d = |4+2|
d = 6
Part 1: you can find 4x-18 by dividing -18 by 4 to isolate the variable. The answer would be x= -4.5
Now that you know what x equals you can use that for the rest of your problems: BC is -4.5 + 12= 7.5, EF is 4× -4.5-18 = -36 and AD is 3×-4.5 = -13.5
BC= 7.5
EF= -36
AD= -13.5
Answer: Yes. It will be amended
Step-by-step explanation:
Since 5/6 of the 52 states in a country must approve the amendment before the country's constitution is amended, then the number of states that must approve it will be:
= 5/6 × 52
= 43.33
= 43 approximately
Since 44 states approve an amendment, the constitution be amended since it's more than 5/6 of the 52 states.
Answer:
Point A' will be located 10 units away from point A along ray PA
Step-by-step explanation:
we have
The scale factor is 3
step 1
Find out the distance PA'
we know that
The distance PA' is equal to multiply the distance PA by the scale factor
so
we have
substitute the given values
step 2
Find out how many units away from point A along ray PA will A’ be located
we know that
we have
substitute the given values and solve for AA'
therefore
Point A' will be located 10 units away from point A along ray PA