Given two angles that measure 50° and 80° and a side that measures 4 feet, how many
1 answer:
You might be interested in
Answer:
x = 10
Step-by-step explanation:
Since the triangles are similar the ratios of corresponding sides are equal
=
, that is
=
( cross- multiply )
20(4x + 2) = 84x
80x + 40 = 84x ( subtract 80x from both sides )
40 = 4x ( divide both sides by 4 )
x = 10
Answer:
tanΘ = -
Step-by-step explanation:
Using the trigonometric identity
tan²Θ + 1 = sec²Θ, thus
tan²Θ + 1 = ( )² =
( subtract 1 from both sides )
tan²Θ = ( take the square root of both sides )
tanΘ = ±
Since 270 < Θ < 360 , that is the fourth quadrant where tan Θ < 0, thus
tanΘ = -