MATH SOLVE

4 months ago

Q:
# I think the answe is c can somebody help me out ?

Accepted Solution

A:

Answer:

angle V = 60 degrees

angle U = 90 degrees

angle W = 30 degrees

This is the last option

Explanation:

Part a: getting angle U:

Let's start by doing the Pythagorean check:

hypotenuse = sqrt [(side1)^2 + (side2)^2]

side1 = 3β3 and side2 = 3 cm

Substitute in the above equation:

hypotenuse = sqrt [ (3β3)^2 + (3)^2]

hypotenuse = 6 cm

This proves that the given triangle is right-angled at U

Therefore:

measure angle U = 90 degree

Part b: getting angle V:

cos theta = adjacent / hypotenuse

theta is angle V

adjacent side = 3 cm

hypotenuse = 6 cm

Therefore:

cos V = 3/6 = 1/2

V = 60 degrees

Part c: getting angle W:

We can get this using two methods:

Method 1:

Angles of triangle = 180

180 = 90 + 60 + angle W

angle W = 180 - (90+60) = 30 degrees

Method 2:

cos theta = adjacent / hypotenuse

theta is W

adjacent = 3β3 cm

hypotenuse = 6 cm

Therefore:

cos W = 3β3 / 6 =Β β3 / 2

W = 30 degrees

Hope this helps :)

angle V = 60 degrees

angle U = 90 degrees

angle W = 30 degrees

This is the last option

Explanation:

Part a: getting angle U:

Let's start by doing the Pythagorean check:

hypotenuse = sqrt [(side1)^2 + (side2)^2]

side1 = 3β3 and side2 = 3 cm

Substitute in the above equation:

hypotenuse = sqrt [ (3β3)^2 + (3)^2]

hypotenuse = 6 cm

This proves that the given triangle is right-angled at U

Therefore:

measure angle U = 90 degree

Part b: getting angle V:

cos theta = adjacent / hypotenuse

theta is angle V

adjacent side = 3 cm

hypotenuse = 6 cm

Therefore:

cos V = 3/6 = 1/2

V = 60 degrees

Part c: getting angle W:

We can get this using two methods:

Method 1:

Angles of triangle = 180

180 = 90 + 60 + angle W

angle W = 180 - (90+60) = 30 degrees

Method 2:

cos theta = adjacent / hypotenuse

theta is W

adjacent = 3β3 cm

hypotenuse = 6 cm

Therefore:

cos W = 3β3 / 6 =Β β3 / 2

W = 30 degrees

Hope this helps :)