Find the length x to the nearest whole number Do not round u

Find the length x to the nearest whole number. (Do not round until the final answer. Then round to the nearest whole number.)

Solution

Let the the lenght of base of smaller traiangle with angle 65 deg be y

So, tan65 = 360/y

y = 360/tan65 = 167.87

Now the triangle with angle 34 deg, the base length be b

So, tan 34 = 360/b

b = 360/tan34 = 533.72

So, x = b -y = 533.72 - 167.87 = 365.85 = 366 (Solution)