Hi students, Welcome to **AMBiPi (Amans Maths Blogs)**. In this article, you will get * Extra MCQ Questions for Class 10 Maths Chapter 9 Application of Trigonometry*. You can download this PDF and save it in your mobile device or laptop etc.

**Extra MCQ Questions for Class 10 Maths Height & Distance Question No 31:**

A 100 m tall radio antenna stands on the top of a house. From a point on the ground, the angle of elevation of bottom of antenna is 45 degree and angle of elevation of top of the antenna is 60 degree. Find the height of the house.

**Option A** : 100 m

**Option B** : 50 m

**Option C** : 50(√3 + 1) m

**Option D** : 50(√3 – 1) m

**Show/Hide Answer Key**

**Option C : 50(√3 + 1) m**

**Extra MCQ Questions for Class 10 Maths Height & Distance Question No 32:**

The length of shadow of s cm tall man is p cm when the Sun’s altitude is α. It is of the length q cm when the Sun’s altitude is β. If β = 3α, then find the value of (p – q).

**Option A** : s(tanα – tan3α) / tan3αtanα

**Option B** : s(tanα – tan3α) / 3tan3αtanα

**Option C** : s(tan3α – tanα) / tan3αtanα

**Option D** : s(tan2α) / tan3αtanα

**Show/Hide Answer Key**

**Option C : s(tan3α – tanα) / tan3αtanα**

**Extra MCQ Questions for Class 10 Maths Height & Distance Question No 33:**

The shadow of a 6 m high tower is 15 m and at the same point of time length of shadow of a tree is 25 m. What is the height of the tree?

**Option A** : 21 m

**Option B** : 10 m

**Option C** : 35 m

**Option D** : None of these

**Show/Hide Answer Key**

**Option B : 10 m**

**Extra MCQ Questions for Class 10 Maths Height & Distance Question No 34:**

If angle of elevation of top of a tree from a point E, due east of the tree is 60 degree and from a point F, due west is 30 degree. If the distance between E and F is 160 feet, find the height of the tree?

**Option A** : 40√3 feet

**Option B** : 60 feet

**Option C** : 40 / √3 feet

**Option D** : 23 feet

**Show/Hide Answer Key**

**Option A : 40√3 feet**

**Extra MCQ Questions for Class 10 Maths Height & Distance Question No 35:**

Two poles of 6 m and 11 m are standing vertically on a plane. If the distance between their feet is 12 m, find the distance between their top?

**Option A** : 11 m

**Option B** : 12 m

**Option C** : 13 m

**Option D** : 14 m

**Show/Hide Answer Key**

**Option C : 13 m**

**Extra MCQ Questions for Class 10 Maths Height & Distance Question No 36:**

When the Sun’s altitude if 30^{o}, the shadow of a tower is 15 m. What is the length of shadow when the Sun’s altitude is 60^{o}?

**Option A** : 3 m

**Option B** : 4 m

**Option C** : 5 m

**Option D** : 6 m

**Show/Hide Answer Key**

**Option C : 5 m**

**Extra MCQ Questions for Class 10 Maths Height & Distance Question No 37:**

The angles of elevation of the top of tower from two points at a distance of 36 m and 64 m from the base of the tower and in the same straight line with it are complementary. What is the height of the tower?

**Option A** : 50 m

**Option B** : 48 m

**Option C** : 25 m

**Option D** : 24 m

**Show/Hide Answer Key**

**Option B : 48 m**

**Extra MCQ Questions for Class 10 Maths Height & Distance Question No 38:**

The shadow of a tree is 16 m when elevation of the Sun’s is 60 degree. Find the height of the tree.

**Option A** : 8 m

**Option B** : 16 m

**Option C** : 16√3 m

**Option D** : 16 / √3 m

**Show/Hide Answer Key**

**Option C : 16√3 m**

**Extra MCQ Questions for Class 10 Maths Height & Distance Question No 39:**

From the top of a light house, the angle of depression of two ships in opposite direction are 30 degrees and 45 degrees. If the height of light house is h, then the distance between two ships?

**Option A** : (√3 + 1)h

**Option B** : (√3 – 1)h

**Option C** : √3h

**Option D** : (1 + 1/√3)h

**Show/Hide Answer Key**

**Option A : (√3 + 1)h**

**Extra MCQ Questions for Class 10 Maths Height & Distance Question No 40:**

The angle of depression of vertices of a regular hexagon lying in a plane from the top of a 75 m high tower standing at the centre of the hexagon is 60 degree. Find the length of each side of the hexagon.

**Option A** : 50√3 m

**Option B** : 75 m

**Option C** : 25√3 m

**Option D** : 25 m

**Show/Hide Answer Key**

**Option C : 25√3 m**