Solve the triangle if B=78 and a=41. Round to the nearest tenth.

A = 12° b = 192.89 Units c = 197.20 Units

Step-by-step explanation:

We can solve the triangle using the trigonometrical ratios which may be expressed in the form SOA CAH TOA Where,

SOA stands for

Sin Ф = opposite side/hypotenuses side

Cosine Ф = adjacent side/hypotenuses side

Tangent Ф = opposite side/adjacent side

The hypotenuse is the side facing the right angle while the opposite is the side facing the given angle.

Considering triangle ΔABC, where ∠B=78°, a = 41 units,

As such, with respect to angle B, c is the hypotenuse, b is the opposite side and a is the adjacent side

Tan 78 = b/41

b = 41 Tan 78°

= 192.89 Units

Cos 78° = 41/c

c = 41/ cos 78°

= 197.20 Units

Since angle C is a right angle (90°), and the sum of angles in a triangle is 180° then

A + 78 + 90 = 180

A = 12°

a 10 percent increase

4/6 = 2/3

so it should take 3/3 hours per man. so 9 hours is the answer 3*3 =9

step-by-step explanation: