three people are watching a hot air balloon travel over their town. at a certain point in time, one person stands directly below the balloon, and the others look at it at certain angles. in the following image, a, b, and c are people, and d is the balloon. person c is 384m directly below the balloon, person b is 200m away from person c, and the angle between person a, the balloon, and person b is 33 degrees. how far is person a from the hot air balloon

Distance between balloon and a is = 383.67 m

Step-by-step explanation:

The given situation can be represented as the given diagram as attached in the answer area.

cd = 384 m

cb = 200 m

To find:

Distance between balloon and a i.e. side ad = ?

Solution:

First of all, let us consider the right angled .

We know the trigonometric identity that:

Now, using the external angle property for the external for the :

(External angle is equal to the sum of two opposite angles of the triangle.)

Now, let us consider the right angled .

We have the value of and perpendicular dc.

We have to find the hypotenuse ad.

Let us use the sine identity:

So, the answer is:

Distance between balloon and is = 383.67 m

3. (5x + 1) - (-10x + 6)

simplify the answer choice. combine like terms. remember to distribute the negative to the terms inside the second parenthesis. also remember that two negatives = one positive, and one of each sign = negative.

- (-10x + 6) = + 10x - 6

simplify. combine like terms:

5x + 1 + 10x - 6

5x + 10x + 1 - 6

15x - 5

∴ it is your answer

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