I'm guessing the diagram shows a ladder leaning against a wall, making a right angle triangle with respect to the ground and the wall.
So, the wall's height is going to be the 'h', which will also be the 'opposite side' from the angle <span>ϴ which is made from the ladder and the ground.
</span>The ladder's length (18 foot) is going to be the 'hypotenuse' side and the other remaining side will be the 'adjacent'.
Now, once you've sorted out which side is which, we have to find the h (opp), and according to SOH CAH TOA, we will choose Sin<span>ϴ = opp/hyp.
</span>so Sinϴ = h/18....now we gotta find h, so 'cross multiply' the equation to get h = 18 x sin<span>ϴ.
</span>
To find angle ϴ, simply take the inverse of Sinϴ= h/18... and you'll get ϴ = sin-1 (sin inverse) h/18
Hope this helps
Answer:
correct option is △XYZ ~ △X'Y'Z'.
Step-by-step explanation:
since ΔXYZ is dilated by some scale factor so, the resulting triangle can not be congruent to the ΔXYZ. so option 2 is wrong.
as we have explained that the two triangles are not congruent then it's sides and angles also can't be congruent so, option 3 is also incorrect.
As we don't know by what factor the triangle XYZ is dilated so we can't say anything about correctness of option 4 and 5.
ΔXYZ was reflected over a vertical line and then dilated so the resulting ΔX'Y'Z' is similar to ΔXYZ.
i.e., △XYZ ~ △X'Y'Z'.
Step-by-step explanation:
The length of a rectangle, l = 3 units
The breadth of a rectangle, b = 4 units
Nancy needs to increase both the length and the width of the rectangle by 2 units.
The area of a rectangle is given by
A = length(l) × breadth(b)
Here,
A = 3 × 4
= 12 unit²
If both length and width of the rectangle increase by 2 units,
New length = (4+2) = 6 units
New width = (3+2) = 5 units
New area = 6 × 5 = 30 unit²
Hence, new area becomes 30 unit².
Answer:
I think the answer is -6
Step-by-step explanation:
-4-(-2)
