208k views
2 votes
Hello I need help with my math please I need help with question to A and b thanks

Hello I need help with my math please I need help with question to A and b thanks-example-1
User Vaness
by
8.2k points

1 Answer

2 votes

Explanation:

for what question ?

just in case, always remember Pythagoras

c² = a² + b²

with c being the Hypotenuse, a and b are the legs.

then there is the law of sine

a/sin(A) = b/sin(B) = c/sin(C)

a,b,c being the sides opposite of the A, B, C angles.

and as always : the sum of all angles in a triangle is always 180°.

1.

a)

angle A = 180 - 90 - 35 = 55°

a/sin(55) = 15/sin(90) = 15

a = 15×sin(55) = 12.28728066... m

b)

angle A = 180 - 90 - 25 = 65°

250/sin(65) = b/sin(90) = b = 275.8444797...

2.

a)

remember the trigonometric triangle with the up/down leg being sine (multiplied by the circle radius, which is the Hypotenuse of the triangle), and the left/ right leg being cosine (again multiplied by the Hypotenuse).

5 = 12×sin(x)

sin(x) = 5/12 = 0.416666666...

x = 24.62431835...°

b)

the same principle as for a), just now we need cosine.

12 = 15×cos(x)

cos(x) = 12/15 = 4/5 = 0.8

x = 36.86989765...°

3.

AB² = 125² + 65² = 15625 + 4225 = 19850

AB = sqrt(19850) = 140.890028... cm

angel C = 90°

125/sin(B) = 65/sin(A) = 140.890028.../sin(90)

sin(B) = 125/140.890028... = 0.887216801...

angle B = 62.52556837...°

angle A = 180 - 90 - 62.52556837... = 27.47443163...°

User Ricardo Mayerhofer
by
8.3k points

No related questions found

Welcome to QAmmunity.org, where you can ask questions and receive answers from other members of our community.

9.4m questions

12.2m answers

Categories