# IMO Level 1- Mathematics Olympiad (SOF) Class 10: Questions 885 - 889 of 968

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## Question 885

### Question

MCQ▾

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 886

### Question

MCQ▾

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 887

### Question

MCQ▾

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.

## Question 888

### Question

MCQ▾

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.

10m

b.

12m

c.

11m

d.

13m

## Question 889

### Question

MCQ▾

The angles of depression of two ships from the top of a lighthouse are towards east. If the ship are 150m apart, the height of the lighthouse is________.

### Choices

Choice (4)Response

a.

b.

c.

d.