Question

Help me solve this problem

Answer 1

Answer:

Step-by-step explanation:

1.Tan = opp/adj

Tan 45=x/8

Cross multiply

Tan 45 x 8 = x

1 x 8=x

X =8

2.sin=opp/hyp

Sin 45=8/y

Cross multiply

Sin45 x y =8

Divine both sides by sin45

Y = 8/sin 45

Y=8 ÷√2/2

Y=8 x 2/√2

Y=16/√2

Rationalise

Y= 16/√2 x√2/√2

Y=16√2/2

16 divided by 2 is 8

Y=8√2

Answer 2

Answer:  x = 8    y = 8√2

Step-by-step explanation:  If both angles are the same, 45°  the sides are the same, so  x = 8.

To find the hypotenuse, y, use the Pythagorean Theorem: a² + b² = c²

(In this question, c is y, and the x sides are a & b)

8² + 8² = y²   Here you can add the squares 66 + 64 = 128 and calculate the square root of 128  OR

(8²)(2) = y²     √(8²)(2) =  √y²  

8√2 = y