These mathxl's are very hard! I understand the other parts its just this question that i dont understand.

Question

asked Apr 12, 2020 138k views

2 Answers

Giannis Katsini · Answer 1 · 2020-04-18T23:57:57+0000

Answer:

x = 4

y = 6

Explanation:

Given:

An angle is 45°

The length of the opposite side, hypotenuse and adjacent side of the right triangle is 4, y and x.

Find x, y.

Solution:

In a right triangle, the tangent of an angle is the length of the opposite side divided by the length of the adjacent side.

$tan\theta = (Opposite\ side)/(Adjacent\ side)$

tan(45) = (4)/(x)

x = (4)/(tan(45))

Now we substitute tan(45) = 1 in above equation.

x = (4)/(1)

x = 4

The adjacent side of the right triangle is 4.

Now, we use Pythagoras theorem for determine y value.

c^(2)=a^(2) + b^(2) ---------(1)

where c = hypotenuse of triangle.

a = Adjacent side

b = Opposite side

Now, we substitute value of adjacent side and opposite side in equation 1.

y^(2)=4^(2) + 4^(2)

y^(2)=16 + 16

y^(2)=36

y = 6

Therefore, the value x = 4 and y = 6.