Spoiler Sorry the correct ans should be 35.07 degrees. This is because sin 45 =1/2. So a perpendicular line drawn from angle B to the base is 4. Now sin A is 4/7. So sin inverse would be 35.07 degrees.
Spoiler . 8cos45° + 7cos A° = 10 7Cos A° = 10 - 8 Cos 45° Cos A° = 1/7 of [10 - 8 x 0.7071] = 1/7 of [10 - 5.656] = 1/7 of (4. 35) A° = cos inverse of 0. 621428 = 51.58°