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mikemurray115
02.12.2020 •
Mathematics
Solve for the variable using Trig ratio.
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Ответ:
x = 3.86
a = 5.86
Step-by-step explanation:
From the triangles attached,
By applying cosine rule in triangle 1,
cos(50)° =![\frac{\text{Adjacent side}}{\text{Hypotenuse}}](/tpl/images/0940/7837/28977.png)
cos(50)° =![\frac{x}{6}](/tpl/images/0940/7837/a2b19.png)
x = 6cos(50)°
x = 3.86
Now we apply sine rule in the second triangle,
sin(23)° =![\frac{\text{Opposite side}}{\text{Hypotenuse}}](/tpl/images/0940/7837/ef708.png)
sin(23)° =![\frac{a}{15}](/tpl/images/0940/7837/9160b.png)
a = 15sin(23)°
a = 5.86
Ответ:
The area of the rectangle would be (11)(7) =77
The area of the square is (6)(6)=36
77+36=113
Hope this helped :)