C-10-Q087mediumsingle_mcq

A balloon flies above a point between two posts $1$ km apart on level ground. From the balloon, the depression of the nearer post is $60^\circ$ and the farther post $30^\circ$ . With balloon height $h$ , the distance to the foot of the $60^\circ$ post is—

a $\dfrac{h}{\sqrt{3}}$
b $h\sqrt{3}$
c $h$
d $2h$

ব্যাখ্যা

The depression angle equals the angle of elevation from the post, so for the nearer post $\tan 60^\circ = \frac{h}{d}$ . Solving gives $d = \frac{h}{\tan 60^\circ} = \frac{h}{\sqrt{3}}$ .

এই অধ্যায়ের আরও প্রশ্ন

C-10-Q088The horizontal distance to the foot of the post equals—
C-10-Q089The two horizontal distances together equal the spacing between the posts—
C-10-Q090Solving gives
C-10-Q091Approximate height of the balloon above the ground in metres—
C-10-Q092Given , the ratio stick : shadow equals—
C-10-Q093Therefore equals—
C-10-Q094Hence the angle of elevation of the sun is—
C-10-Q095If the length of a stick equals the length of its shadow, then equals—
C-10-Q096The corresponding angle of depression of the sun is—
C-10-Q097This situation describes a stick whose shadow is—

Chapter 10: Distance and Elevation — সব প্রশ্ন দেখুন (160টি) →

A balloon flies above a point between two posts $1$ km apart on level ground. From the balloon, the depression of the nearer post is $60^\circ$ and the farther post $30^\circ$ . With balloon height $h$ , the distance to the foot of the $60^\circ$ post is—

\dfrac{h}{\sqrt{3}}

h\sqrt{3}

h

2h

ব্যাখ্যা

The depression angle equals the angle of elevation from the post, so for the nearer post $\tan 60^\circ = \frac{h}{d}$ . Solving gives $d = \frac{h}{\tan 60^\circ} = \frac{h}{\sqrt{3}}$ .

A balloon flies above a point between two posts 111 km apart on level ground. From the balloon, the depression of the nearer post is 60∘60^\circ60∘ and the farther post 30∘30^\circ30∘. With balloon height hhh, the distance to the foot of the 60∘60^\circ60∘ post is—

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

A balloon flies above a point between two posts 111 km apart on level ground. From the balloon, the depression of the nearer post is 60∘60^\circ60∘ and the farther post 30∘30^\circ30∘. With balloon height hhh, the distance to the foot of the 60∘60^\circ60∘ post is—

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

A balloon flies above a point between two posts $1$ km apart on level ground. From the balloon, the depression of the nearer post is $60^\circ$ and the farther post $30^\circ$ . With balloon height $h$ , the distance to the foot of the $60^\circ$ post is—

A balloon flies above a point between two posts $1$ km apart on level ground. From the balloon, the depression of the nearer post is $60^\circ$ and the farther post $30^\circ$ . With balloon height $h$ , the distance to the foot of the $60^\circ$ post is—