<h3>
Answer:</h3>
47.10
<h3>
Step-by-step explanation:</h3>
The mnemonic SOH CAH TOA reminds you that ...
... Cos = Adjacent/Hypotenuse
The value y is the length of the hypotenuse, and the given length 35 is the side adjacent to the given angle. Thus, the cosine relationship will be helpful.
Filling in the given values, we have ...
... cos(42°) = 35/y
Multiplying by y/cos(42°), we can find y to be ...
... y = 35/cos(42°) ≈ 35/0.7431
... y ≈ 47.10
Answer:
120
Step-by-step explanation:
The sum of the angles is 180 since it forms a straight line
2x+ x+90 = 180
Combine like terms
3x +90=180
Subtract 90 from each side
3x+90-90=180-90
3x= 90
Divide each side by 3
3x/3 = 90/3
x = 30
We want angle DBC = x+90
= 30+90
=120
Answer:
6 7/12
Step-by-step explanation: