A rocket lifted off from a launch pad and traveled vertically 30 km, then traveled 40 km at 30 degrees from the vertical, and then traveled 100 km at 45 degrees from the vertical. At that point, the rocket was how many kilometers above the height of the launch pad?

Answers

Answer 1

Answer: Well, we are told that in the beginning, it has traveled 30km vertically, so do not forget to add that on at the end.

Next it says that it traveled 40km 30 degrees from vertical, so we set up a sin equation to solve for the missing side, n:

sin(angle)= opposite/hypotenuse:

sin(30) = n/40

40sin30=n

n=20km

Then it says at an angle of 45 degrees, it goes 100km. This means that we are given the hypotenuse of a right triangle, and we need to find the side that goes up and down. We shall call this length x.

We know that the angle opposite x is 45 degrees.

So, we will use sin to solve for x:

sin(angle)= opposite/hypotenuse

sin45= x/100

100sin45=x

x=70.711km

But remember, I said not to forget about that 30km from the very beginning? So we add up all of our vertical heights:

30km + 20km+ 70.711km = 120.711km

Related Questions

Dirk Nowitzki of the Dallas mavericks scored 44 points in a recent basketball game. He scored no 3-point shots, but made a number of 2-point field goals and 1-point free throws. He scored 30 times. How many 2-point shots did he make? How many free throws did he make?
Write an equation of the line with the given point and slope
given a rectangle of length a and width b if A and B are both rational numbers would the perimeter be irrational or rational? Give an example choosing your own values for a and b
Which equation represents this situation? Naila worked 3.5 hours more than Lisa. Together, they worked a total of 18 hours. Lisa worked h hours. Question options: a.h + 3.5 = 18 b.h + 7 = 18 c.h + (h – 3.5) = 18 d.h + (h + 3.5) = 18Agora cyber charter school
If a rectangle measures 54 meters by 72 meters, what is the length, in meters, of the diagonal of the rectangle?Can someone explain this one?

How do you work this question out at the bottom? please help?????

Answers

Question Q1:
Surface area of the cone:
$\pi r l + \pi r^(2)=125 \pi /: \pi rl+ r^(2)=125 5l+ 5^(2)=125 5l+25=125 5l=100 l=100:5=20$
Answer: l=20 cm.

Surface area of the cone:

Answer: l=20 cm.

Please help!!!. I don't know how to do it. Find the values of x and y that produce the following Pythagorean triples:

39, 760, 761

Answers

39 has factors (1 * 39) & (3 * 13)
Here we'll try
m + n = 13
m - n = 3

2m = 16
m = 8

2n = 10
n = 5
2mn = 2 * 8 * 5 = 80
So this choice is no good.
Let's go with
m + n = 39
m - n = 1

2m = 40
m = 20

2n = 38
n = 19

Thus
x = 20² - 19² = 39
y = 2 * 20 * 19 = 760
z = 20² + 19² = 761

Solve for b: -3b-6=18

Answers

Answer:

b= -8

Step-by-step explanation:

Answer:

-8

Step-by-step explanation:

-3b - 6 = 18

+6 +6

-3b = 24

-3b/-3 = 24/-3

b = -8

Jean needs to graph the function below y= 7x^2 + 8x - 6 How many time should the graph of this function intersect at the x-axis?A) 3
B) 2
C) 1
D) 0

Answers

It's a quadratic curve that has a y-intervept below the x axis. Therefore it crosses 2 times

You are going to pull two cards from a standard deck of 52 cards (without replacement) and record whether you got a face card (jack, queen, king, or ace) or a number card (2-10). Which list of events correctly makes up the sample space?

Answers

Answer:

The list of event (pulling a face card,F or a number card, N) that correctly makes up the sample space when a card is drawn without replacement is;

NF and

Step-by-step explanation:

Here we have the definition of a sample space as one which has all possible outcomes

Therefore, the list of events that correctly makes up the sample space of events when you pull out two cards we have either a face card F or a number card N, and the sample space is;

NF and

Where the likelihood of each outcome changes as the number of face cards and number card changes as each card is drawn without replacement.

Answer:

just took the test, the correct answer is:

B) two number cards, two face cards, one number card and one face card

GEOMETRY. PLS HELP ASAP.Find the surface area of the sphere with the given dimension. Leave your answer in terms of pi . radius of 60 m
A. 3,600 pi m^2
B. 7,200 pi m^2
C. 14,400 pi m^2
D. 1,800 pi m^2

Answers

surface area=4pir^2
r=60
SA=4pi60^2
SA=4pi3600
SA=14400pi

answer is C

Surface area formula of a Sphere:
S.A = 4 $\pi$ r²
= 4 × $\pi$ × (60)²
= 4 × $\pi$ × 3600
= 14,400 $\pi$ m²

Answer is C. 14,400 $\pi$ m²

Other Questions

There are so many little things that go into organic farming and each of them adds additional costs. Some of these additional costs are listed in the article located here. Use the data table at the end of the document to answer the questions. Which cost category in the table shows an example of direct variation? The total cost for office expenses to run the organic strawberry farm varies directly with the number of months it is used. Which equation represents this scenario? What would be the total cost for office expenses for 24 months?

A, B, and C are polynomials, where A = n, B = 2n + 6, and C = n2 – 1. What is AB – C in simplest form?A=–n2 + 3n + 5 B=n2 + 6n + 1 C=2n2 + 6n – 1 D=3n2 + 5

What are the solutions of the equation: z^2 - 12z + 36 = 0? A. -6, 6 B. 6, 6 C. 6, -6 D. -6, -6

What is the solution set of the equation x²+2x-24=0?