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# I need help in this trigonometry problem?

Can someone help me in this problem? I dont get the problem pls explain it really well. Thanks in advance :3

r and m are equal

### 1 Answer

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- GlippLv 78 years agoFavorite Answer
tan m = 10/x

tan (m + r) = (tan m + tan r)/(1 - tan m tan r) = 25/x

if m = r,

2 tan m / (1 - tan^2 m) = 25/x

=> 20/x / (1 - 100/x^2) = 25/x

=> 20/x = 25/x (1 - (10/x)^2)

=> 20 = 25 (1 - (10/x)^2)

=> 5 = 25(10/x)^2

=> 10/x = 1/√5

=> x = 10√5

now tan m = 10/x = 1/√5

=> m = r = 24.09º

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