A ladder with length of 24 metres is placed against the wall at an angle of elevation of \( \Large 30 ^{\circ} \). Then the height of the building is


A) 18 mts.

B) 24 mts.

C) 12 mts.

D) 16mts.

Correct Answer:
C) 12 mts.

Description for Correct answer:


PR is the ladder = 24 mts.

PQ = The height of the building = h mts.

\( \Large \sin 30 = \frac{h}{24} \)

\( \Large \frac{h}{24} = \frac{1}{2} \)

\( \Large h = \frac{24}{2} = 12 mts. \)

The height of the building is 12 mts.

Part of solved Trigonometry questions and answers : >> Elementary Mathematics >> Trigonometry








Comments

No comments available




Similar Questions
1). In \( \Large \triangle ABC,\ m \angle B=90 ^{\circ} ,\ BC=12\ cm.,\ AB=5\ cm. \) using pythogorass property find the value of the hypotenuse?
A). 13 cm.
B). 14 cm.
C). 7 cm.
D). 18 cm.
-- View Answer
2). A man sees the bottom of tree from the top of the building whose height is 45 mts. at an angle of depression \( \Large 45 ^{\circ} \). Find the distance between the building and the bottom of the tree.
A). 30 mts.
B). 60 mts.
C). 45 mts.
D). 40 mts.
-- View Answer
3). P and Q are the two points on the ground. In between them a pole AB is stood. A is tied to P and A is tied to Q. P makes an angle of \( \Large 30 ^{\circ} \) and Q makes an angle of \( \Large 45 ^{\circ} \), with the ground respectively. The length of PA is 10 mts. Find the length of AQ.
A). \( \Large 10\sqrt{2} \)mts.
B). \( \Large \sqrt{20} \)mts.
C). \( \Large 4\sqrt{5} \)mts.
D). \( \Large 5\sqrt{2} \)mts.
-- View Answer
4). A man at a point sees the top of a tower at an angle of elevation \( \Large 30 ^{\circ} \). If he after walking 24 metres from that point towards the tower, the angle of elevation becomes \( \Large 60 ^{\circ} \), then the height of the tower is
A). 12 mts.
B). \( \Large 4\sqrt{3} \)mts.
C). \( \Large 12\sqrt{3} \)mts.
D). none of these.
-- View Answer
5). There are two temples on the banks of a river and they are opposite to each other on either side of the river. from the 54' height temple from the top a man sees the top of the other temple at an angle of depression \( \Large 30 ^{\circ} \). and the bottom of the temple at an angle of depression \( \Large 60 ^{\circ} \) respectively. Find the height of the other temple?
A). 36 mts.
B). 40 mts.
C). 42 mts.
D). 54 mts.
-- View Answer


6). The height of the two poles are 80 mts. and 62.5 mts. A man stands at the top of long pole sees the top of the small pole at an angle of \( \Large 45 ^{\circ} \). Then the distance between the two poles is.
A). 142.5 mts.
B). 60.5 mts.
C). 17.5 mts.
D). 100 mts.
-- View Answer
7). Two ships are on either side of' a light house of height 100 mts. The angle of elevation from the two ships to see the top of the light house are \( \Large 30^{\circ} \) and \( \Large 45 ^{\circ} \) respectively. Then the distance between the two ships is
A). 273 mts.
B). 100 mts.
C). 100 mts.
D). \( \Large 200\sqrt{3} \)mts.
-- View Answer
8). The distance between two buildings is 60 mts. A man sees the top of the other building from the height of the building of 150 mts at an angle of depression \( \Large 30^{\circ} \). Then the height of the other building is
A). 115.6 mts.
B). 115.4 mts.
C). 120 mts.
D). 120.64 mts.
-- View Answer
9). 5 radian is equal to
A). \( \Large 5 \times \frac{90}{ \pi } ^{\circ} \)
B). \( \Large 5 \times \frac{180}{ \pi } ^{\circ} \)
C). \( \Large 5 \times \frac{270}{ \pi } ^{\circ} \)
D). \( \Large 5 \times \frac{360}{ \pi } ^{\circ} \)
-- View Answer
10). The value of
| \( \Large \sin 60 \cos 30 \) |
| \( \Large \cos 60 \sin 30 \) |
A). 1
B). 0
C). \( \Large \frac{1}{2} \)
D). \( \Large \frac{\sqrt{3}}{2} \)
-- View Answer