Please help me I’m stuck

Question

asked Jan 12, 2022 137k views

2 Answers

Taylor Hughes · Answer 1 · 2022-01-14T12:29:45+0000

Answer:

Explanation:

use Pythagoras's theorem to find the hypontenuse of the isosceles triangle on the right side.

hyp = sqrt [ 5^2 + 5^2 ]

hyp = sqrt [ 50 ]

hyp = 7.0710678

now we know the adjacent side of the triangle on the left , since it's the same as the hypotenuse of the triangle on the right.

SOH CAH TOA ( to remember how the trig funct. fit on triangles)

CAH Cos(Ф) = adj / hyp

cos(Ф) = 7.0710678 / 8

Ф = arcCos( 7.0710678 / 8 )

Ф = 27.8855668°

TOA Tan(Ф) = x / 7.0710678

Tan( 27.8855668° ) = x / 7.0710678

7.0710678 * Tan( 27.8855668° ) = x

3.741657 = x

x = 3.7 ( to the nearest 10th )

Waleed Iqbal · Answer 2 · 2022-01-19T10:21:05+0000

Answer:

x = 3.7

Explanation:

We can find the side of the hypotenuse by applying pythagorean theorem.

${5}^(2) + {5}^(2) = {x}^(2)$

$25 + 25 = {x}^(2)$

$50 = {x}^(2)$

x = 5 √(2)

Now we can apply pythagorean theorem on the other triangle

$(5 √(2) ) {}^(2) + {x}^(2) = {8}^(2)$

$50 + {x}^(2) = 64$

${x}^(2) = 14$

x = √(14)

x = 3.7