# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 883 - 887 of 968

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## Question number: 883

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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 (30°- θ)

b.

c.

htan (30°- θ)

d.

## Question number: 884

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MCQ▾

### Question

The top of two poles of height and are connected by a wire. If the wire makes an angle of with horizontal, then the length of the wire is________

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 885

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MCQ▾

### Question

Two persons are ‘b’ meters apart and height of one is double that of the other. If from the middle point of the line joining their feet, an observer finds the angular elevation of their tops to be complementary, then the height of the shorter person in meter is________.

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 886

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MCQ▾

### Question

The top of a broken tree has its top end touching the ground at a distance 4m from the bottom, the angle made by the broken end with the ground is Then length of broken part is________.

### Choices

Choice (4)Response

a.

b.

c.

d.

## Question number: 887

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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 20m apart, the height of the lighthouse is________.

### Choices

Choice (4)Response

a.

b.

c.

d.

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