leo4687
04.09.2019 •
Mathematics
Two fields at a state park are 1000 meter from each other.on the map, the two fields are 8 centimeters apart. what scale is the map using?
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Ответ:
11.33 feet.
Step-by-step explanation:
Given that the triangle is a right triangle ABC which has measure of angle ABC equal to 90 degrees and measure of angle ACB equal to 62 degrees.
The length of AB is 10 feet, which is opposite to angle ACB = 62 degrees.
The distance, in feet, that the box has to travel to move from point A to point C can be calculated by using trigonometry ratio. Since AC is the hypothenus of the triangle.
Using SinØ = opposite/hypothenus
That is
Sin Ø = AB / AC
Where Ø = 62 degree
Substitute Ø and length AB into the formula
Sin 62 = 10/ AC
AC = 10/ sin 62
AC = 10/ 0.8829
AC = 11. 33 feet.