Answer:
so the labelled angles are 30 and 90, but it only shows one 90. In fact there are 4 angles of 90. The marked 90 then the vertical angle and the complementary angles. All triangles equal 180 so the given 30 and 90 are taken from the 180.
180 -30-90= 60
But y is the opposite of the 30 which makes y=30
so that leaves x = 60
y=30 and x=60
ANSWER:
2.33 foot
STEP-BY-STEP EXPLANATION:
We can calculate the distance from the staircase to the wall, by means of the trigonometric cosine ratio, which is the following:

Replacing and solving for x:

The distance would be 2.33 foot
y = 19
x = 4(19) + 21(19) = 76 + 399 = 475
3(475) × 7
1425 × 7
9975 <--- answer.
Hope this helped!
Nate