Quickly i need to hand it in by 7: 30 !

Solved below

Step-by-step explanation:

Q1) Hypotenuse² = a² + b²

Hypotenuse is side opposite to 90 degrees

Side AC is opposite to angle B

AC² = AB² + BC²

3.2² = 2.6² + BC²

BC = √3.48

BC = 1.87 cm

Q2 a) Use sin rule to calculate C

b/sin B = c/sin C

30/sin 60 = 25.2/sin C

sin C =21√3/50

Angle C = 46.7°

To find angle A

all 3 angles of a triangle are equal to 180°

A + B + C = 180°

A + 60 + 46.7 = 180°

Angle A = 73.3°

Use sin rule to find side BC

a/sin A = b/sin B

a/sin 73.3 = 30/sin 60

a = 33.2

Q2 b) Use sin rule to find angle E

f/sin F = e/sin E

62/sin 50 = 80/sin E

E = 81.3°

All 3 angles of a triangle are equal to 180 degrees.

D + E + F = 180°

D + 81.3 + 50 = 180°

Angle D = 48.7°

Use sin rule to calculate EF

f/sin F = d/sin D

62/ sin 50 = d/ sin 48.7

d = 60.8°

Q2 c) Use sin rule to find angle N

n/sin N = l/sin L

6.9/sin N = 3.4/sin 31

sin N = 6.9/3.4 * sin 31

N = sin inverse (1.045)

Math error!

Qb) Angle A can be found through the cosine rule

Angle A = cos inverse (a²+b²-c²/2ab)

Angle A = cos inverse (21.2²+11.6²-28.1²/2*21.2*11.6)

Angle A = 114.7°

Find angle B with sin rule

a/sin A = b/in B

21.2/sin 114.7 = 11.6/sin B

sin B = 21.2/sin 114.7 * 11.6

B = sin inverse (0.497)

B = 29.8°

All three angles of a triangle are equal to 180°

A+B+C = 180°

114.7+29.8+C=180°

C=35.5°

Q3) Find angle T through sine rule

t/sin T = r/sin R

4/sin T = 4.7/sin 57

T = 45.5°

All three angles of a triangle are equal to 180 degrees.

R + S + T = 180 degrees

57 + S + 45.4 = 180

S = 77.6°

RT can be found through sin rule

s/sin S = r/sin R

s/sin 77.6 = 4.7/sin 57

s = 5.5m

Q4) Angle A will be 33 degree.

BC will be 200 m

CD will be 384 m

AD can be found through the formula of sin

sin (angle) = opposite/hypotenuse

sin (33) = 384/AD

AD = 705.05 m

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