C-10-Q058mediumsingle_mcq

With the same height $105$ m, if the elevation were $30^\circ$ instead of $60^\circ$ , the foot distance would be—

a $35\sqrt{3}$ m
b $105\sqrt{3}$ m
c $35$ m
d $105$ m

ব্যাখ্যা

At $30^\circ$ the foot distance is $\dfrac{105}{\tan 30^\circ}=105\cdot\sqrt{3}=105\sqrt{3}$ m, since $\tan 30^\circ=\dfrac{1}{\sqrt{3}}$ . A smaller elevation angle makes the base distance larger.

এই অধ্যায়ের আরও প্রশ্ন

C-10-Q059A ladder of length m leans against a wall making with the ground; with m and wall height , equals—
C-10-Q060Therefore the wall height equals—
C-10-Q061in surd form equals—
C-10-Q062The approximate wall height in Example 3 is—
C-10-Q063The horizontal distance from the foot of the wall to the foot of the ladder is—
C-10-Q064In a –– right triangle, the two legs are—
C-10-Q065The stick contacts the tree at m above the ground; the depression angle at the contact is . By alternate angle
C-10-Q066From right with stick as hypotenuse, equals—
C-10-Q067Therefore equals—
C-10-Q068The length of the stick in Example 4 is—

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

With the same height $105$ m, if the elevation were $30^\circ$ instead of $60^\circ$ , the foot distance would be—

35\sqrt{3}

105\sqrt{3}

35

105

ব্যাখ্যা

At $30^\circ$ the foot distance is $\dfrac{105}{\tan 30^\circ}=105\cdot\sqrt{3}=105\sqrt{3}$ m, since $\tan 30^\circ=\dfrac{1}{\sqrt{3}}$ . A smaller elevation angle makes the base distance larger.

With the same height 105105105 m, if the elevation were 30∘30^\circ30∘ instead of 60∘60^\circ60∘, the foot distance would be—

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

With the same height 105105105 m, if the elevation were 30∘30^\circ30∘ instead of 60∘60^\circ60∘, the foot distance would be—

ব্যাখ্যা

এই অধ্যায়ের আরও প্রশ্ন

With the same height $105$ m, if the elevation were $30^\circ$ instead of $60^\circ$ , the foot distance would be—

With the same height $105$ m, if the elevation were $30^\circ$ instead of $60^\circ$ , the foot distance would be—