It is one/1 hope that helps.
Based on what's written down, I think you have it. The two shapes you identified there are a rectangle (5) and square (1).
Step-by-step explanation:
right-angled triangle, and law of sine (for any type of triangles) :
a/sin(A) = b/sin(B) = c/sin(C)
where the sides and the correlated angles are always opposite from each other.
and we know that the sum of all angles in a triangle is always 180°.
so, the angle at the foot of the radio tower is 90°.
the angle from the top of the shadow to the top of the tower is 78.5°.
so, the third angle (at the top of the tower) is
180 - 90 - 78.5 = 11.5°
and with the law of sine we get
height/sin(78.5) = 64/sin(11.5)
height = 64×sin(78.5)/sin(11.5) = 314.57005... ft
Plug in the x value.
3(1-2)2=?
1-2= -1
3(-1)= -3
-3(2)= -6.
The answer is -6.
This is a trapezoid and the trapezoid formula is b1 plus b2/ 2 times height.
17 plus 5 is 22. Divided by 2 is 11.
Now, we have to multiply 11 by the height : 5.
11 times 5 is 55 and that is your area. 55 units squared.
