SOLUTION: Find lengths correct to the nearest integer. There is an equalaterial triangle and it cuts it down the middle to form to right triangles. The whole base of the triangle is 24 ho

Question 298995: Find lengths correct to the nearest integer.
There is an equalaterial triangle and it cuts it down the middle to form to right triangles. The whole base of the triangle is 24 however, if you cut it in half the base of the 2 right triangles equal 12. The bottom angle on the triangle across from the right angle equals 65 degrees. Using cosine, sin, or tangent find the values of x and y. X is the hypotuense on both right triangles and y is the leg that cuts the triangle in half. Can you please help me with this problem? Thank you
Answer by ankor@dixie-net.com(22740) (Show Source): You can put this solution on YOUR website!
There is an equilaterial triangle and it cuts it down the middle to form to right triangles.
The whole base of the triangle is 24 however, if you cut it in half the base of the 2 right triangles equal 12.
The bottom angle on the triangle across from the right angle equals 65 degrees.
Using cosine, sin, or tangent find the values of x and y. X is the hypotenuse
on both right triangles and y is the leg that cuts the triangle in half.
:
You can find x using the cosine of 65,
where
x = hypotenuse
12 = side adjacent
cos(65) =
.4226x = 12
x =
x = 28.39 ~ 28
and
find y using the tan of 65
where
side opposite = y
side adjacent = 12
tan(65) =
y = 2.445*12
y = 25.73 ~ 26
:
:
check solution by finding the sine of a, it should equal 65
sin(a) = 25.73/28.39
sin(a) = .9064
a = 65.0
RELATED QUESTIONS
Find the side lengths of each triangle. It is an equalaterial triangle. the sides... (answered by Alan3354)

If there was an right-angle triangle, and I wanted to find out the lengths of the 2... (answered by Earlsdon)

A(-1,0) B(2,0) C(0,3) AP is an altitude of the triangle ABC and it cuts the y-axis at H. (answered by Fombitz)

A unit square is divided into 4 pieces using three cuts as shown. The four pieces can be... (answered by sudhanshu_kmr)

Find the constant that makes the equation correct, and enter it in the blank below. If... (answered by ewatrrr)

a landscape architect designed a flower bed in a shape of a triangle with side lengths... (answered by Earlsdon)

Find D in the simplest radical form. Right square pyramid with equilateral trianglar... (answered by cleomenius)

If the lengths of an isosceles triangle are 9.4 and 16, find the angles to the nearest... (answered by Edwin McCravy)

the measure of two angles are 100 degrees and 46 degrees. the length of the shortest... (answered by KMST)