The answer should be 18.66
Answer:
The question is asking to solve a problem that'll "add up", or in other words, makes sense; through the use of Trigonometric functions. The leaning ladder is the hypotenuse of 17ft, adjacent to that is a wall that measures 16.5ft above the ground. The angle both sides make must be <=70°. The function here is Opposite over Hypotenuse i.e 16.5/17 . We use the inverse operation of Sin which is Sin^(-1) to find if the angle is < or = to 70°. Using a calculator, we find the angle to be 76.06°, which is > more than, 70°.
Thus, the ladder will not be safe for its height and therefore won't make sense.
Answer:
S ≈ 16.49 cm and R ≈ 16.76 cm
Step-by-step explanation:
We are given that:
Length = 16 cm
Width = 4 cm
Height = 3 cm
Thus,
The diagonal S of the bottom side is given by pythagoras theorem;
S² = 16² + 4²
S² = 256 + 16
S² = 272
S = √272
S ≈ 16.49 cm
Since we now have the bottom diagonal, then we can use Pythagoras Theorem to find the diagonal "R" of the box:
So, R² = S² + 3²
R² = (√272)² + 9
R² = 272 + 9
R = √281
R ≈ 16.76 cm
