Question

Solve for m and n
I been stuck on this question for an hour

Answer 1

m = 10 , n = 5
`√(2)`

Explanation:

using the cosine and tangent ratio in the right triangle and the exact values

cos45° =
`(1)/(√(2) )` and tan45° = 1 , then

cos45° =
`(adjacent)/(hypotenuse)` =
`(5√(2) )/(m)` =
`(1)/(√(2) )` ( cross- multiply )

m = 5
`√(2)` ×
`√(2)` = 5 × 2 = 10

-----------------------------------------

tan45° =
`(opposite)/(adjacent)` =
`(n)/(5√(2) )` = 1 , then

n = 5
`√(2)`