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otez555 [7]
3 years ago
7

An ant looks up to the top of a tree with an angle of elevation of 38. if the ant is 43 feet from the base of the tree, what is

the height of the tree, to the nearest tenth?
a. 33.6 feet
b. 34.1 feet
c. 35.4 feet
d. 38.5 feet

Mathematics
2 answers:
Arturiano [62]3 years ago
4 0
The answer to this question is:

<span>An ant looks up to the top of a tree with an angle of elevation of 38. if the ant is 43 feet from the base of the tree, what is the height of the tree, to the nearest tenth?
"33.6 Ft"

Hoped this helped, Vickicoward7545
Your Welcome :)
</span>
Artemon [7]3 years ago
4 0

Answer:

33.6 feet

Step-by-step explanation:

Given : An ant looks up to the top of a tree with an angle of elevation of 38.

To Find:  If the ant is 43 feet from the base of the tree, what is the height of the tree, to the nearest tenth?

Solution:

Refer the attached figure

An ant looks up to the top of a tree with an angle of elevation of 38.i.e.∠ACB= 38°

The ant is 43 feet from the base of the tree i.e.BC = 43 feet.

Now we are supposed to find the height of the tree i.e. AB

Now we will use trigonometric ratio

Tan \theta = \frac{Perpendicular}{Base}

Tan 38^{\circ} = \frac{AB}{BC}

Tan 38^{\circ} = \frac{AB}{43}

0.78128= \frac{AB}{43}

0.78128 \times 43= AB

33.6= AB

Hence the height of the tree is 33.6 feet.

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Some of the children at a school arrive by car.
scZoUnD [109]

Answer:

  • <u>74%</u>

Explanation:

You can build a two-way relative frequency table to represent the data:

These are the columns and rows:

               Car         No car      Total

Boys

Girl

Total

Fill the table

  • <em>30% of the children at the school are boys</em>

             Car         No car      Total

Boys                                       30%

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  • <em>60% of the boys at the school arrive by car</em>

That is 60% of 30% = 0.6 × 30% = 18%

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Boys      18%                         30%

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By difference you can fill the cell of Boy and No car: 30% - 18% = 12%

             Car         No car      Total

Boy       18%           12%         30%

Girl

Total

Also, you know that the grand total is 100%

             Car         No car      Total

Boy       18%           12%         30%

Girl

Total                                     100%

By difference you fill the total of Girls: 100% - 30% = 70%

             Car         No car      Total

Boy       18%           12%         30%

Girl                                         70%

Total                                     100%

  • <em>80% of the girls at the school arrive by car</em>

That is 80% of  70% = 0.8 × 70% = 56%

             Car         No car      Total

Boy       18%           12%         30%

Girl       56%                         70%

Total                                     100%

Now you can finish filling in the whole table calculating the differences:

             Car         No car      Total

Boy       18%           12%         30%

Girl        56%         14%         70%

Total     74%          26%      100%

Having the table completed you can find any relevant probability.

The probability that a child chosen at random from the school arrives by car is the total of the column Car: 74%.

That is because that column represents the percent of boys and girls that that  arrive by car: 18% of the boys, 56% of the girls, and 74% of all the the children.

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