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balu736 [363]
3 years ago
15

A man wants to cut down a tree in his yard. To ensure that the tree doesn't hit anything, he needs to know the height of the tre

e. He measures his distance from the tree at 11 meters and the angle of elevation to the tree at 61 degrees. What is the height of the tree to the nearest tenth of a meter?
Mathematics
1 answer:
Alisiya [41]3 years ago
8 0

Answer:

19.8m

Step-by-step explanation:

In the attached diagram:

  • The man's eye level is at point A,
  • The height of the tree is BC.
  • The angle of elevation at A is 61 degrees.
  • The distance of the man at A to the tree BC is 11 meters.

This forms the right triangle ABC.

We want to determine the height labeled h.

Using Trigonometry:

\tan \theta =\dfrac{BC}{AB}\\ \tan 61^\circ =\dfrac{h}{11}\\h=11 \times  \tan 61^\circ\\h=19.8$ m

The height of the tree is 19.8 meters to the nearest tenth of a meter.

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Answer: $19.02

Step-by-step explanation:

First find the sales tax paid. It will be paid on the cost of the meal:

= 14.20 * 8%

= $1.14

Then find the tip which was done after the sales tax was added:

= 24% * (14.20 + 1.14)

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The total cost is:

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How many significant digits are in thus number 74.30
goblinko [34]

Answer:

3

Step-by-step explanation:

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2 years ago
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Bumek [7]

Answer:

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Step-by-step explanation:

By theorem of intersecting chords inside a circle,

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m∠1 = \frac{1}{2}(92+95)

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