Answer:
7.07
Step-by-step explanation:
The sine function relates the 45° angle, the hypotenuse (10) and the opposite side (x). We want to find x.
Start by writing sin Ф = opp / hyp. Here opp represents the desired x value. Then opp = x = (hyp)·(sin 45°), or
1
x = opp = 10 · ------- = 10 / √2 = 10√2 / 2, or x = opp = 5√2
√2
x is 5√2, or 5(1.414), or 7.071, which, when rounded down to the nearest one hundredth, is 7.07.
