Grade 10 : Mathematics - 9. Trig Applications (Set 1)

Question 1

A tower stands vertically on the ground. From a point on the ground which is 20 maway from the foot of the tower, the angle of elevation of the top of the tower is measured to be$45^\circ$.

What is the height of the tower?

Accepted Answer

B) 20 m

Answer

A) 10 m

Answer

C) $20\sqrt{3}m$

Answer

D) 40 m

Question 2

A ladder leaning against a vertical wall makes an angle of $60^\circ$with the ground. The foot of the ladder is5 maway from the foot of the wall.

Find the length of the ladder.

Accepted Answer

A) 10 m

Answer

B) $5\sqrt{3}m$

Answer

C) 15 m

Answer

D) 20 m

Question 3

From the top of a cliff 30 mhigh, the angle of depression of a small boat on the water is$30^\circ$.

How far is the boat from the base of the cliff?

Accepted Answer

C) $30\sqrt{3}m$

Answer

A) $15\sqrt{3}m$

Answer

B) 30 m

Answer

D) 60 m

Question 4

A kite is flying at a height of 60 mabove the ground. The string attached to the kite is temporarily tied to a point on the ground at an angle of inclination of$60^\circ$.

Assuming there is no slack in the string, find the length of the string.

Accepted Answer

D) $40\sqrt{3}m$

Answer

A) $60\sqrt{3}m$

Answer

B) 120 m

Answer

C) $30\sqrt{3}m$

Question 5

An observer 1.5 mtall stands at a distance of28.5 mfrom a vertical chimney. The angle of elevation of the top of the chimney from her eyes is$45^\circ$.

What is the total height of the chimney?

Accepted Answer

B) 30 m

Answer

A) 28.5 m

Answer

C) 27 m

Answer

D) 31.5 m

Question 6

A vertical pole of length 6 mcasts a shadow$2\sqrt{3}m$long on the ground.

Find the sun's angle of elevation at that moment.

Accepted Answer

A) $60^\circ$

Answer

B) $30^\circ$

Answer

C) $45^\circ$

Answer

D) $90^\circ$

Question 7

At a certain time of day, the length of the shadow of a tree is equal to the height of the tree.

What is the angle of elevation of the Sun at this instant?

Accepted Answer

C) $45^\circ$

Answer

A) $30^\circ$

Answer

B) $60^\circ$

Answer

D) $0^\circ$

Question 8

A 12 mlong support wire is attached to the top of a vertical pole and anchored to the ground. The wire makes an angle of$30^\circ$with the horizontal ground.

Find the height of the pole.

Accepted Answer

A) 6 m

Answer

B) $6\sqrt{3}m$

Answer

C) 12 m

Answer

D) 24 m

Question 9

The angle of elevation of the top of a building from a point on the ground 40 maway from its base is$30^\circ$.

Calculate the height of the building.

Accepted Answer

D) $\frac{40}{\sqrt{3}}m$

Answer

A) $40\sqrt{3}m$

Answer

B) 20 m

Answer

C) $20\sqrt{3}m$

Question 10

From a point on the ground, the angle of elevation of the top of an 80 mtall cell tower is$60^\circ$.

How far is the point from the base of the tower?

Accepted Answer

B) $\frac{80}{\sqrt{3}}m$

Answer

A) $80\sqrt{3}m$

Answer

C) 40 m

Answer

D) $40\sqrt{3}m$

Question 11

A light source on a lighthouse is 50 mabove sea level. The angle of depression of a ship observed from the top of the lighthouse is$45^\circ$.

What is the horizontal distance of the ship from the base of the lighthouse?

Accepted Answer

C) 50 m

Answer

A) 25 m

Answer

B) $50\sqrt{3}m$

Answer

D) 100 m

Question 12

A person standing at the top of a 75 mhigh tower sees a parked car at an angle of depression of$30^\circ$.

How far is the car located from the foot of the tower?

Accepted Answer

A) $75\sqrt{3}m$

Answer

B) $25\sqrt{3}m$

Answer

C) 75 m

Answer

D) 150 m

Question 13

A 15 mladder reaches a window that is7.5 mabove the ground.

What is the angle made by the ladder with the horizontal ground?

Accepted Answer

B) $30^\circ$

Answer

A) $45^\circ$

Answer

C) $60^\circ$

Answer

D) $90^\circ$

Question 14

A 10 mhigh flag pole casts a shadow of length$10\sqrt{3}m$on flat ground.

Find the angle of elevation of the Sun.

Accepted Answer

D) $30^\circ$

Answer

A) $60^\circ$

Answer

B) $45^\circ$

Answer

C) $90^\circ$

Question 15

An electric pole is 10 mhigh. A guy wire tied to the top of the pole is fixed to an anchor on the ground at an angle of$45^\circ$.

Find the length of the guy wire.

Accepted Answer

A) $10\sqrt{2}m$

Answer

B) 10 m

Answer

C) 20 m

Answer

D) $5\sqrt{2}m$

Question 16

A student standing 15 maway from a vertical wall looks up at a clock on the wall at an angle of elevation of$45^\circ$. His eye level is 1.2 mabove the ground.

At what height from the ground is the clock located?

Accepted Answer

C) 16.2 m

Answer

A) 13.8 m

Answer

B) 15.0 m

Answer

D) 17.5 m

Question 17

The tops of two poles of heights 18 mand12 mare connected by a straight wire. The wire makes an angle of$30^\circ$with the horizontal.

Find the length of the wire.

Accepted Answer

B) 12 m

Answer

A) 6 m

Answer

C) $6\sqrt{3}m$

Answer

D) 18 m

Question 18

A tree breaks due to a storm and the broken top bends down so that the tip touches the ground, making an angle of $30^\circ$with the ground. The distance from the foot of the tree to the point where the top touches the ground is9 m.

Find the length of the broken top part of the tree.

Accepted Answer

A) $6\sqrt{3}m$

Answer

B) $9\sqrt{3}m$

Answer

C) 18 m

Answer

D) $3\sqrt{3}m$

Question 19

An observer on top of a 100 mcliff looks down at a boat anchored nearby. The angle of depression of the boat is$45^\circ$.

How far is the boat from the base of the cliff?

Accepted Answer

D) 100 m

Answer

A) 50 m

Answer

B) $100\sqrt{3}m$

Answer

C) $50\sqrt{2}m$

Question 20

A 20 mlong straight ramp leads from the ground to a raised platform that is10 mhigh.

What is the angle of inclination of the ramp with the ground?

Accepted Answer

B) $30^\circ$

Answer

A) $45^\circ$

Answer

C) $60^\circ$

Answer

D) $15^\circ$

Set 2Grade 10 : Mathematics - Trig Applications

Grade 10 : Mathematics - Trig Applications

Examination Instructions:

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Set 2Grade 10 : Mathematics - Trig Applications

Grade 10 : Mathematics - Trig Applications

Examination Instructions:

Discussion 0

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Set 2Grade 10 : Mathematics - Trig Applications

Grade 10 : Mathematics - Trig Applications

Examination Instructions:

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Set 2Grade 10 : Mathematics - Trig Applications

Grade 10 : Mathematics - Trig Applications

Examination Instructions:

Share This Quiz

Discussion 0

Rating & Discussion Locked

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