The length of AC is b) 9.8 cm, rounded to the nearest tenth. Therefore, b) 9.8 cm is correct .
To find the length of AC, we can use the following steps:
Set up a right triangle with angle A = 55° and opposite side = 15 cm. The hypotenuse of the triangle is AC, and we want to find the adjacent side, which is b.
Use the tangent function to relate the sides of the triangle:
tan(55°) = 15 / b
Solve for b:
b = 15 / tan(55°)
Use a calculator to evaluate b:
b = 15 / tan(55°) ≈ 9.8 cm
Therefore, the length of overline AC is 9.8 cm, rounded to the nearest tenth.
Question
The equation tan (55°)= 15/b can be used to find the length What is the length of overline AC ? Round to the nearest tenth. of overline AC.
a) 3.0 cm.
b) 9.8 cm.
c) 10.5 cm.
d) 12.8 cm.