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)
Hope this helps ---------
Answer:
The lemonade costs 1.4.
Step-by-step explanation:
This question is solved using a system of equations.
I am going to say that:
x is the cost of a cookie.
y is the cost of a lemonade.
Total cost for cookie and lemonade is 1.80.
This means that 
.
As we want y, we have that 
Lemonade costs 1.00 more than the cookie?
This means that:
So
The lemonade costs 1.4.
Answer:
x positive, y negative
Step-by-step explanation:
-60 is the 4th quadrant of the unit circle ( negative angles go clockwise from 0), so the x value is positive and the y value is negative.
We must graph y=x^3-9x^2+11x+21. Please, see the attached file.
Then we see were the graph cuts the x-axis, and these values of x are the real solutions of the given equation:
The real solutions of the given equation are:x = -1, 3, and 7
