Write your answer as an integer or as a decimal rounded to the nearest hundredth.
tan(Y) =
Answer:
tan∠Y = 2,14
Step-by-step explanation:
First , we need to determine XY
in order to do that we use the Pythagorean theorem :
XY = √(85^2-77^2) = 36
tan∠Y = 77/36 = 77÷36 = 2,138888888889
Answer:
Step-by-step explanation:
Triangle WXY is a right angle triangle.
From the given right angle triangle
WY represents the hypotenuse of the right angle triangle.
With ∠Y as the reference angle,
XY represents the adjacent side of the right angle triangle.
WX represents the opposite side of the right angle triangle.
To determine XY, we would apply Pythagoras theorem which is expressed as
Hypotenuse² = opposite side² + adjacent side²
85² = 77² + XY²
XY² = 85² - 77² = 7225 - 5929
XY = √1296 = 36
To determine tan Y, we would apply trigonometric ratio
Tan θ = opposite side/adjacent side. Therefore,
Tan Y = 77/36
Tan Y = 2.14
HJ = KG = 14, and RS = TU = 16, what is
the scale factor of quadrilateral GHJK to
quadrilateral RSTU?
Answer: the scale factor is 1.6
Step-by-step explanation:
The attached photo shows Quadrilateral GHJK and Quadrilateral RSTU. Since they are similar quadrilaterals,
KG/UR = JG/TS = GH/RS = KJ/UT
10/16 = 14/TS
10TS = 16×14 = 224
TS = UR = 224/10 = 22.4
The scale factor is
16/10 = 22.4/12 = 1.6