# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 873 - 879 of 968

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## Question 873

### Question

MCQ▾

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 874

### Question

MCQ▾

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 875

### Question

MCQ▾

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 876

### Question

MCQ▾

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

## Question 877

### Question

MCQ▾

If and , then ________.

### Choices

Choice (4)Response

a.

- 1

b.

1

c.

0

d.

2

## Question 878

### Question

MCQ▾

If and , then ________.

### Choices

Choice (4)Response

a.

- 1

b.

2

c.

1

d.

0

## Question 879

### Question

MCQ▾

An observer tall is away from a chimney. The angle of elevation of he top of the chimney from her eyes is the height of the chimney is________.

### Choices

Choice (4)Response

a.

0.52

b.

2.5

c.

1.45

d.

9.86