Question

The number of right angles made when we start from north and turn anticlockwise to west isThe number of right angles made when we start from north and turn anticlockwise to west is​

Answer 1

Answer:

Given:

△ABC is right angled at C, ∠B=60

∘

∠C=90

∘

We know that,

In triangle ABC, ∠A+∠B+∠C=180

∘

60

∘

+∠A+90

∘

=180

∘

∠A=30

∘

We have,

sinA=

AB

CB

sin30

∘

=

15

CB

2

1

×15=CB

CB=7.5 units

From Pythagoras theorem,

AB

2

=AC

2

+BC

2

15

2

=AC

2

+(

2

15

)

2

AC

2

=225−(

4

225

)

AC

2

=225(

4

3

)

AC=

2

15

3

units

Step-by-step explanation:

Given:

△ABC is right angled at C, ∠B=60

∘

∠C=90

∘

We know that,

In triangle ABC, ∠A+∠B+∠C=180

∘

60

∘

+∠A+90

∘

=180

∘

∠A=30

∘

We have,

sinA=

AB

CB

sin30

∘

=

15

CB

2

1

×15=CB

CB=7.5 units

From Pythagoras theorem,

AB

2

=AC

2

+BC

2

15

2

=AC

2

+(

2

15

)

2

AC

2

=225−(

4

225

)

AC

2

=225(

4

3

)

AC=

2

15

3

unit