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2 years ago

Need help with this trigonometry word problem

Mathematics

2 answers:

creativ13 [48]2 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]2 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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