Solve triangle.A = 33°, a = 20, b = 13

Mathematics

1 answer:

aivan3 [116]3 years ago

5 0

Answer:

B = 20.7°

C = 126.3°

c = 29.6

Step-by-step explanation:

See attached photo for steps...

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3x=-5y<br> 6x-7y=17 <br> Solve the equation

love history [14]

3x = -5y -------------- (1)
6x - 7y = 17 --------- (2)

From (1):
3x = -5y
x = -5/3 y ---------- sub into (2)

6 (-5/3 y) - 7y = 17
-10y - 7y = 17
-17y = 17
y = -1 ------------ Sub into (1)
3x = -5 (-1)
3x = 5
x = 5/3

Ans: x = 5/3, y = -1

7 0

4 years ago

a street light is at the top of a 18 ft tall pole. a woman 6 ft tall walks away from the pole with a speed of 4 ft/sec along a s

shutvik [7]

The most appropriate choice for similarity of triangles will be given by -

Speed of tip of the shadow of woman = 6 ft/s

What are similar triangles?

Two triangles are said to be similar, if the corrosponding angles of the triangles are same and the corrosponding sides of the triangles are in the same ratio.

Here,

The diagram has been attached here

Let the distance of woman from the pole be x ft and the distance of tip of the shadow to the pole be y ft.

Height of street light = 18 ft

Height of woman = 6ft

The two triangles are similar [As height of woman is parallel to the height of pole]

$\frac{y - x}{6}=\frac{y}{18}\\18y - 18x = 6y\\18y - 6y = 18x\\12y = 18x\\y = \frac{18}{12}x\\y = \frac{3}{2}x\\$