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Marizza181 [45]
2 years ago
5

Anna and Veronica are on the opposite sides of a tower of 160 meters height. They measure the angle of elevation of the top of t

he tower as 40° and 55° respectively. Find the distance between the two friends.
Mathematics
1 answer:
MAXImum [283]2 years ago
8 0

Answer: The distance between the girls is 362.8 meters.

Step-by-step explanation:

So we have two triangle rectangles that have a cathetus in common, with a length of 160 meters.

The adjacent angle to this cathetus is 40° for Anna, then the opposite cathetus (the distance between Anna and the tower) can be obtained with the relationship:

Tan(A) = opposite cath/adjacent cath.

Tan(40°) = X/160m

Tan(40°)*160m = 134.3 m

Now, we can do the same thing for Veronica, but in this case the angle adjacent to the tower is 55°

So we have:

Tan(55°) = X/160m

Tan(55°)*160m = X = 228.5 m

And we know that the girls are in opposite sides of the tower, so the distance between the girls is equal to the sum of the distance between each girl and the tower, then the distance between the girls is:

Dist = 228.5m + 134.3m = 362.8m

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3 years ago
9(3+c+4) use distributive property to simplify the expression
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Alicia wants to bake a cake with ⁹/10 grams of flour.However,she only has ⅓ grams of flour she needs.How much does she have?
natali 33 [55]

Answer:

We know that:

She needs 9/10 grams of flour for the cake (this quantity does not make a lot of sense, maybe is written incorrectly, but is the only info we have, so let's solve the problem with this)

She only has 1/3 of the amount she needs.

How much flour does she have?

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Then she has (1/3) times (9/10) grams, this is:

F = (1/3)*(9/10) grams

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That is the amount of flour that she has.

6 0
2 years ago
Answer ASAP!! Please! Will give brainliest!
ale4655 [162]
This is what you’re looking for !

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Help me awnser this question
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800 * 1.20 = 960
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