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Answer:
<h2>61°</h2>Step-by-step explanation:
Use the sine law:
We have:
Substitute:
<em>cross multiply</em>
<em>divide both sides by 6</em>
Answer:
Step-by-step explanation:
Given a triangle with angles 60° and 60°. Let the third angle be represented by x, so that;
x + 60° + 60° = (sum of angle in a triangle)
x + 120 =
x = - 120
x = 60°
Thus, since the third angle of the triangle is 60°, then the triangle is an equilateral triangle. For an equilateral triangle, all sides are equal and all its angles are equal. So that the other sides of the triangle is 10 each.
<ABC ≅ <BAC ≅ < ACB ≅ 60°
AB = BC = AC = 10 cm
The required construction for the question is attached to this answer for more clarifications.
Using proportions, it is found that the same job will take Mrs. Squirrel 6 hours.
<h3>What is a proportion?</h3>
A proportion is a fraction of a total amount, and the measures are related using a rule of three.
The times are given as follows:
- Mrs. Squirrel: x.
- Mr. Turtle: 3 days.
- Mr. Pigeon: 30 minutes = Half an hour = 1/48 day.
The ratios are as follows:
Turtle/Squirrel = Squirrel/Pigeon.
Hence:
x = 1/4.
It takes 1/4 of a day for Mrs. Squirrel to do the job, hence 1/4 x 24 hours = 6 hours.
More can be learned about proportions at brainly.com/question/24372153
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