Chapters

- Exercise 1
- Exercise 2
- Exercise 3
- Exercise 4
- Exercise 5
- Exercise 6
- Exercise 7
- Exercise 8
- Exercise 9
- Exercise 10
- Exercise 11
- Exercise 12
- Solution of exercise 1
- Solution of exercise 2
- Solution of exercise 3
- Solution of exercise 4
- Solution of exercise 5
- Solution of exercise 6
- Solution of exercise 7
- Solution of exercise 8
- Solution of exercise 9
- Solution of exercise 10
- Solution of exercise 11
- Solution of exercise 12

## Exercise 1

The known data for a right triangle ABC is a = 5 m and B = 41.7°. Solve the triangle.

## Exercise 2

The known data for a right triangle ABC is b = 3 m and B = 54.6°. Solve the triangle.

## Exercise 3

The known data for a right triangle ABC is a = 6 m and b = 4 m. Solve the triangle.

## Exercise 4

The known data for a right triangle ABC is b = 3 m and c = 5 m. Solve the triangle.

## Exercise 5

A tree 50 m tall casts a shadow 60 m long. Find the angle of elevation of the sun at that time.

## Exercise 6

An airship is flying at an altitude of 800 m when it spots a village in the distance with a depression angle of 12°. How far is the village from where the plane is flying over?

## Exercise 7

Find the radius of a circle knowing that a chord of 24.6 m has a corresponding arc of 70°.

## Exercise 8

Calculate the area of a triangular field, knowing that two of its sides measure 80 m and 130 m and between them is an angle of 70°.

## Exercise 9

Calculate the height of a tree, knowing that from a point on the ground the top of the tree can be seen at an angle of 30º and from 10 m closer the top can be seen at an angle of 60°.

## Exercise 10

The length of the side of a regular octagon is 12 m. Find the radii of the inscribed and circumscribed circles.

## Exercise 11

Calculate the length of the side and the apothem of a regular octagon inscribed in a circle with a radius of 49 centimeters.

## Exercise 12

Three towns A, B and C are connected by roads which form a triangle. The distance from A to C is 6 km and from B to C, 9 km. The angle between these roads is 120°. How far are the towns A and B from each other?

## Solution of exercise 1

The known data for a right triangle ABC is a = 5 m and B = 41.7°. Solve the triangle.

## Solution of exercise 2

The known data for a right triangle ABC is b = 3 m and B = 54.6°. Solve the triangle.

## Solution of exercise 3

The known data for a right triangle ABC is a = 6 m and b = 4 m. Solve the triangle.

## Solution of exercise 4

The known data for a right triangle ABC is b = 3 m and c = 5 m. Solve the triangle.

## Solution of exercise 5

A tree 50 m tall casts a shadow 60 m long. Find the angle of elevation of the sun at that time.

## Solution of exercise 6

An airship is flying at an altitude of 800 m when it spots a village in the distance with a depression angle of 12°. How far is the village from where the plane is flying over?

## Solution of exercise 7

Find the radius of a circle knowing that a chord of 24.6 m has a corresponding arc of 70°.

## Solution of exercise 8

Calculate the area of a triangular field, knowing that two of its sides measure 80 m and 130 m and between them is an angle of 70°.

## Solution of exercise 9

Calculate the height of a tree, knowing that from a point on the ground the top of the tree can be seen at an angle of 30º and from 10 m closer the top can be seen at an angle of 60°.

## Solution of exercise 10

The length of the side of a regular octagon is 12 m. Find the radii of the inscribed and circumscribed circles.

Radius of the inscribed circle.

Radius of the circumscribed circle.

## Solution of exercise 11

Calculate the length of the side and the apothem of a regular octagon inscribed in a circle with a radius of 49 centimeters.

## Solution of exercise 12

Three towns A, B and C are connected by roads which form a triangle. The distance from A to C is 6 km and from B to C, 9 km. The angle between these roads is 120°. How far are the towns A and B from each other?

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