# 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 |