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Fofino [41]
3 years ago
9

From a point on the ground 47ft from the base of a tree, the angle

Mathematics
1 answer:
Orlov [11]3 years ago
3 0

Answer:

  33 ft

Step-by-step explanation:

In a diagram of the geometry, you see that the angle of elevation is opposite the triangle leg representing the tree height, and is adjacent to the triangle leg representing distance from the tree.

The tangent ratio relates these lengths to the angle:

  Tan = Opposite/Adjacent

  Opposite = Adjacent×Tan

  tree height = (47 ft)tan(35°) ≈ 33 ft

The height of the tree is about 33 feet.

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Two planes are the same altitude. From the airport , one plane is 50 km away in the direction of N°60 E and another is 80 km awa
djverab [1.8K]

9514 1404 393

Answer:

  78.5 km

Step-by-step explanation:

Measured at the airport, the angle between the two planes is ...

  180° -60° -50° = 70°

The law of cosines tells us the distance between the planes is ...

  d = √(50² +80² -2·50·80·cos(70°)) ≈ √6163.84 ≈ 78.5 . . . km

The planes are about 78.5 km apart.

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2 years ago
Question is : Rearrange to make x the subject : 3y-2x=7
maksim [4K]

Answer:

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Step-by-step explanation:

6 0
3 years ago
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BThe wooden treehouse has horizontal siding that is parallel to the base. What are the LM and MN to the nearest hundredth?
xeze [42]

Answer:

LM =  2.82 ft

MN =  2.39 ft

Step-by-step explanation:

We suppose ΔGNF is isosceles and GF bisect ∠NGF, so that GK ⊥ NF

LH // MJ // NK

GL / GH = LM / HJ = MN / JK

11.3 / 10.4 = LM / 2.6 = MN / 2.2

LM = 11.3 / 10.4 x 2.6 = 2.82

MN = 11.3 / 10.4 x 2.2 = 2.39

3 0
3 years ago
Ben drinks tea at an incredible rate. He drinks 3\dfrac123 2 1 ​ 3, start fraction, 1, divided by, 2, end fraction liters of tea
barxatty [35]

Answer:

Restating the question clearly:

Ben drinks tea at an incredible rate. He drinks 3 1/2 liters of tea every 2/3 of an hour. How much does he drink in one hour?

Answer:

He drinks  5\frac{1}{4}\ liters\  in 1 hour

Step-by-step explanation:

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5 0
3 years ago
Let f(x)=x-2 and g(x) = x^3 . What is (f•g)(2)
NemiM [27]

Answer:

f(x)=x2

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Step-by-step explanation:

Explanation:

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2 years ago
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