Solving Trig Word Problems: Q1 & Q2

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The discussion revolves around two trigonometry word problems involving a rocket and an airplane. The first problem requires calculating the height of a rocket that ascends vertically and then at an angle, while the second involves determining the angle of approach for an airplane descending towards an airport. Initially, the user expressed confusion over their diagrams and calculations. However, they later confirmed that they resolved both problems independently. The thread highlights the importance of correctly categorizing homework-related inquiries in appropriate forums.
Taylor_1989
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I am having trouble figuring out these two word problems. I have attached drawing on how I have set them up the diagrams up, but I seem to be going wrong on both. Here are the two questions.

1. A rocket lifts off vertically and travels to height of 5000m. The second stage cuts in and takes the rocket at an angle of 25 degrees, to the vertical, covering a further distance of 2000m. Calculate the height of the rocket.

2. An aeroplane is apporaching an airport at a height of 1000 m. If the aeroplane is 8km from the airport, workout the angle of approach.

The dotted line in diagrams show my working method.

If someone could please show me where I am going wrong, on these diagrams, I would appreciate very much.

In the first diagram I got 155 degree from take 180 - 25
 

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Homework-type problems should be posted in the Homework & Coursework section, not in the Math technical forum. I am moving your post to the Precalc Mathematics section under Homework & Coursework.
Taylor_1989 said:
I am having trouble figuring out these two word problems. I have attached drawing on how I have set them up the diagrams up, but I seem to be going wrong on both. Here are the two questions.

1. A rocket lifts off vertically and travels to height of 5000m. The second stage cuts in and takes the rocket at an angle of 25 degrees, to the vertical, covering a further distance of 2000m. Calculate the height of the rocket.

2. An aeroplane is apporaching an airport at a height of 1000 m. If the aeroplane is 8km from the airport, workout the angle of approach.

The dotted line in diagrams show my working method.

If someone could please show me where I am going wrong, on these diagrams, I would appreciate very much.

In the first diagram I got 155 degree from take 180 - 25
 
First just like to say sorry for putting the post in the wrong forum. I got the questions of a website, so didn't think it was a homework question. I have figured out the two questions now so no need for any response.
 

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