Need help with this trigonometry word problem

Mathematics

2 answers:

creativ13 [48]3 years ago

6 0

The distance between the tree and the tower is 30√3m.

Justification:

Let the situation be in a right angleABC form as shown in attached figure.

Given the height of the tower is 30m and the angle of depression to the base of the tree measure 30°.

So, In ΔABC

tanθ = p/b

tan30° = 30/BC

1/√3 = 30/BC

BC = 30√3m.

Alja [10]3 years ago

3 0

Answer:

30√3 m ≈ 52 m

Step-by-step explanation:

The side ratios in a 30°-60°-90° triangle are 1 : √3 : 2. The long leg of the triangle is √3 times 30 m, or about 51.96 m.

The distance between the tree and the tower is about 30√3 m ≈ 52 m.

If you haven't memorized the ratios of this special triangle, you can use the relation ...

Tan = Opposite/Adjacent

tan(30°) = 30/d

d = 30/tan(30°) = 30√3 = 51.96 . . . . same as above

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1.) Vivian combined different amounts of white paint, blue paint, and green paint to make 145 milliliters (ml) of paint of a new

Ivahew [28]

So here are the answers to the given questions above:
1. Since the equation is already given, what we are going to do is to solve for x first.
x + (2x – 10) + 1/2 (2x – 10) = 145
x + (2x -10) + x - 5 = 145
x + 2x + x - 10 - 5 = 145
4x = 145 +10 + 5
4x = 160 <<divide both sides by 4 and we get
x = 40.
Therefore, the amount of white paint is 40ml.
The amount of blue paint is 70ml and the green paint is 35ml.
So the difference between the amounts of white paint and blue paint Vivian combined is 30ml.
2. The equation of the line that passes through the points (-2, 1) and (1, 10) would be: 3x - y = -7, the last option. In order to check, just plug in the given ordered pairs.

3 0

3 years ago

I don't know this please help no links Brainliest

Illusion [34]

Answer:

y=x+1

Step-by-step explanation:

Rise over run. The line starts positive one and goes up one and over one.

Hope this helps!

4 0

3 years ago

How many 1/3s do you need to make 3/4