# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 872 - 876 of 968

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## Question number: 872

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MCQ▾

### Question

The angles of depression of two ships from the top of a lighthouse are towards east. If the ship are 50m apart, the height of the lighthouse is________.

### Choices

Choice (4) Response

a.

b.

c.

d.

## Question number: 873

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MCQ▾

### Question

The angle of elevation of a cloud from a point above a lake is and the angle of depression of its image in lake is The height of the cloud is________.

### Choices

Choice (4) Response

a.

40m

b.

100m

c.

50m

d.

80m

## Question number: 874

Edit
MCQ▾

### Question

The angle of elevation of a cloud from a point above a lake is and the angle of depression of its image in lake is The height of the cloud is________.

### Choices

Choice (4) Response

a.

50m

b.

40m

c.

70m

d.

80m

## Question number: 875

Edit
MCQ▾

### Question

The angle of elevation of a cloud from a point h meters above a lake is . The angle of depression of its reflection in the lake is The height of the cloud is________.

### Choices

Choice (4) Response

a.

hcot (60°- θ)

b.

hcot (60°+θ)

c.

htan (60°-θ)

d.

## Question number: 876

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MCQ▾

### Question

The length of a string between a kite and a point on the ground is . If the string makes an angle with level ground such that how high is the kite?

### Choices

Choice (4) Response

a.

b.

76.96m

c.

d.

44.96m

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