Find the area of trapezoid help

Question

janu16 · Answer

Here

alexandervonhumboldt2 · Answer

area=(base+base)/2*height

anonymous · Answer

ot u can just find the area of the rectangle and the triangle

anonymous · Answer

or*

alexandervonhumboldt2 · Answer

you will need to find hegight: to find height use sin ratio

janu16 · Answer

even ik the formula but there is rectangle and tiangle @AlexandervonHumboldt2

alexandervonhumboldt2 · Answer

yeah

alexandervonhumboldt2 · Answer

the height=sin(60)=x/8

alexandervonhumboldt2 · Answer

x=6.9

alexandervonhumboldt2 · Answer

height=6.9

janu16 · Answer

for triangle? @AlexandervonHumboldt2

alexandervonhumboldt2 · Answer

for both

janu16 · Answer

so height for both is 6.9?

alexandervonhumboldt2 · Answer

the puncted line is 6.9

alexandervonhumboldt2 · Answer

the base for the triangle is cos60=x/8

alexandervonhumboldt2 · Answer

x=4 so base =4

janu16 · Answer

alright and how did you get 6.9

anonymous · Answer

Trapezoid Area= a+b / 2 (h)

alexandervonhumboldt2 · Answer

area iof triangle+area of rectangle=6.9*10 + 4*6.9/2

alexandervonhumboldt2 · Answer

simplify

janu16 · Answer

they want the answer in radical form @AlexandervonHumboldt2

mathstudent55 · Answer

You need the two bases and the height.

mathstudent55 · Answer

The right side is a triangle.
Notice it's a 30-60-90 triangle.
You can use the ratios of the sides to find the lengths you need.

mathstudent55 · Answer

Let's look at just the triangle.

mathstudent55 · Answer

|dw:1425846155822:dw|

mathstudent55 · Answer

We need to find x and y.
|dw:1425846201878:dw|

janu16 · Answer

ok help me with like how to find the height and i need the answer is radical form sso ya please help

mathstudent55 · Answer

Do you remember the ratios I told you in the last problem for a 30-60-90 triangle?

mathstudent55 · Answer

The hypotenuse is twice the short leg.
The long leg is sqrt3 times the short leg.

janu16 · Answer

square root 3 is taht what you are talking about?

mathstudent55 · Answer

|dw:1425846329091:dw|

mathstudent55 · Answer

Yes.

janu16 · Answer

yay finally getting this ok whats next

mathstudent55 · Answer

The short leg is what I called x.
If the hypotenuse is twice the short leg, and the hypotenuse is 8 ft, what is x?

janu16 · Answer

4?

mathstudent55 · Answer

Right.
Let's fill it in.
|dw:1425846445786:dw|

mathstudent55 · Answer

The long leg is what I called y.
The long leg is sqrt3 times the short leg.
How long is the long leg?

janu16 · Answer

so short leg is alwys the half of hypotenuse?

mathstudent55 · Answer

Yes, in a 30-60-90 triangle only.

janu16 · Answer

im not sure about long lem did you say sqrt3 times 4?