Answer:
Resultant = 54.67 N
Direction: 50.2° to the horizontal
Explanation:
Note: Since both forces form a right angle triangle, As shown in the diagram below,
Applying
Pythagoras theorem,
a² = b²+c²..................... Equation 1
From the question,
a = R, b = 42 N, c = 35 N
Substitute these values into equation 1
R² = 42²+35²
R² = 1764+1225
R² = 2989
R = √2989
R = 54.67 N
Direction
tanФ = a/b
Where Ф = direction of the resultant
tanФ = 42/35
tanФ = 1.2
Ф = tan⁻¹(1.2)
Ф = 50.2° to the horizontal
