Answer:
1. 23.59 feet
2. 32.9°
Step-by-step explanation:
1. See the diagram attached.
The man is 11 feet distance from the bottom of the tree.
And the angle of elevation from the man to the top of the tree is 65°.
Now, we need to approximate the height of the tree,
Using the trigonometry, we can write
⇒ h = 11 tan 65° = 23.59 feet (Approx.) (Answer)
2. See the diagram attached.
From the given right triangle the hypotenuse is 25 feet and the base is 21 feet.
And the angle between the hypotenuse and the base is the pitch of the ram of a NASCAR turn.
Using trigonometry, we can write
⇒ 
(Answer)
There are 36 different possibilities for his lunch.
We can use the fundamental counting principal to solve this problem. We simply need to find the number of options for each part of the meal and multiply them.
Sandwich = 3
Snack = 3
Dessert = 2
Drink = 2
3 x 3 x 2 x 2 = 36
Answer:
Looks like the scale factor is 1/3.
Step-by-step explanation:
<em>(In this dilation, the green image is polygon ABCDE, and the red image is polygon A'B'C'D'E'. The red image is the resulting image after said dilation.)</em>
A scale factor greater than one enlarges an image, and a scale factor between zero and one shrinks an image, so that rules out options 2 (SF = -3) and 3 (SF = 3).
A negative scale factor would end up in an image opposite the center of enlargement, so that eliminates option 4 (SF = -1/3).
So that means that the scale factor is option 1 (SF = 1/3)!
2x + 7y + 3x - 4y
Collect all the like terms:
2x + 3x = 5x
7y - 4y = 3y
And you end up with 5x + 3y as your final answer :)
A, c, d, f
hope this helps you :)
