Question

Дано: ∆абс, уголс=90°,уголоб=49°,бс=9см. найти ас

Answer 1

Угол Б=180-90-41=49
АС=5 синус 49.
41=5,0
41 умножить 0,75 разделить 0,65=5,75.
Ответ: 5,75

Answer 2

Calculating the Length of Side AC in a Right-Angled Triangle

Given: - ∆ABC is a right-angled triangle with a right angle at angle C. - Angle B = 49°. - Side BC = 9 cm.

To find: Length of side AC.

Solution:

We can use the trigonometric ratios to find the length of side AC. Specifically, we can use the cosine function, which relates the lengths of the sides of a right-angled triangle to the cosine of one of its acute angles.

Using the cosine function: cos(B) = BC / AC

From the given information: cos(49°) = 9 / AC

We can rearrange the equation to solve for AC: AC = 9 / cos(49°)

Now, let's calculate the value of AC using the given information and the cosine function.

Calculation:

Using the given cosine function: AC = 9 / cos(49°)

From the search results, we know that: cos(49°) ≈ 0.656059

Substituting this value into the equation: AC ≈ 9 / 0.656059 ≈ 13.71 cm

Answer:

The length of side AC is approximately 13.71 cm.