The trick here is to not use sin and cos at all.
The -13/15 is the x coordinate of a line from the origin to the unit circle (the line with angle theta). That happens to be the cos(theta).
The y coordinate is the sin(theta).
You can draw this as a triangle where x^2 + y^2 = 1.
So y = √(1 - (13/15)^2) ≈ 0.49889. But your exact answer should be:
Answer:
4+x=-3+2x
4+3=2x-x
7=x
9x=9*7
=63
Step-by-step explanation:
Height of entire house = height of first floor + height of second floor + height of attic
Rearrange to make "Height of attic" the subject
To do this, place "height of first floor" and "height of second floor on the other side of the equation"
So:
Height of attic = Height of entire house - height of first floor - height of second floor
Height of attic = 241/3 - 85/6 - 81/2
Next problem, they are all in fractions.
So make a common/same denominator (bottom number)
Let's make the common denominator 6.
241/3 x 2/2 = 482/6
*It still has the same value
85/6 already has a denominator of 6 so no need to do anything to it.
81/2 x 3/3 = 243/6
Height of attic = 482/6 -85/6 -243/6
Simplify it to one fraction since they all have the same denominator now:
Height of attic = (482 - 85 - 243) / 6
Height of attic = 154/6
By ASA postulate it can be say that the triangle ABC and triangle MRQ are congruent
<h3>What is Angle Sum Property?</h3>
The sum of all three angles(interior) of a triangle is 180 degrees, and the exterior angle of a triangle measures the same as the sum of its two opposite interior angles.
Using Angle Sum Property, in ΔMRQ
<M + <R + <Q= 180
<M + 42 + 85 = 180
<M = 180 -42
<M= 53°
Now, In ΔMRQ and ΔABC
<A= <R ,
<B = <M
AB = MR
Hence, By ASA criteria ΔMRQ ≅ ΔABC
Learn more about this concept here:
brainly.com/question/3486366
#SPJ1
Answer:
x =28
Step-by-step explanation:
We can use proportions to solve this problem, Put the side of the small triangle over the side of the large triangle.
x 42
------- = -----------
x+10 42 + 15
Simplify
x 42
------- = -----------
x+10 57
Using cross products
57*x = 42 (x+10)
Distrbute 42
57x = 42x+420
Subtract 42x from each side
57x -42x = 42x-42x+420
15x = 420
Divide by 15
15x/15 = 420/15
x =28