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If $\alpha, \beta\: and\: \gamma$ are the corresponding angles of the sides a, b and c respectively in an oblique triangle, then according to law of cosins, the value of the square of the side a is

NETNUST Entry TestMathematicsApplication of Trigonometry

A triangle that does not have a right angle is called

NETNUST Entry TestMathematicsApplication of Trigonometry

The angle of elevation of the tops of two towers at the middle point of the line joining the foots of the tower are $60^{\circ}$ and $30^{\circ}$ respectively. Then the ratio of the height of the tower is

NETNUST Entry TestMathematicsApplication of Trigonometry

If a flag-staff 6m high placed on the top of a tower. Makes the shadow $2\sqrt{3}$ on the ground, then the angle of elevation of the sun is

NETNUST Entry TestMathematicsApplication of Trigonometry

The angle of depression of the ship from the top of a tower 30m high is $60^{\circ}$, the distance of the skip from the tower is

NETNUST Entry TestMathematicsApplication of Trigonometry

A pole of 20m high is broken in a wind storm and the top of the pole makes angle $30^{\circ}$ with the ground. The height of the point at which it is broken is

NETNUST Entry TestMathematicsApplication of Trigonometry

The angle of depression of the point at a distance 70m from the foot of the tower from the top of the tower is $45^{\circ}$. The height of the tower is

NETNUST Entry TestMathematicsApplication of Trigonometry

The angle of depression from the top of a tower at a point P on the ground is $30^{\circ}$. If the distance of the tower from P is 24m, the height of the tower is

NETNUST Entry TestMathematicsApplication of Trigonometry

In the flag, $\overline{AC}$ and $\overline{BC}$ are congruent sides. Find $\overline{AB}$

NETNUST Entry TestMathematicsApplication of Trigonometry

When the angle between the groung and the sun is $30^{\circ}$, flag pole casts a shadow of 40m long. The height of the top of the flag is

NETNUST Entry TestMathematicsApplication of Trigonometry

A kite flying at a height of 67.2m is attached to a fully stretched string inclined at an angle of $55^{\circ}$ to the horizontal, the length of the string is

NETNUST Entry TestMathematicsApplication of Trigonometry

Two towers each 120m high are 800m apart. The measure of the angle of elevation from the base of one tower to the top of the other is

NETNUST Entry TestMathematicsApplication of Trigonometry

The angle of elevation of the top of a tree from a point 17m from its foot is $42^{\circ}$. The height of the tree is

NETNUST Entry TestMathematicsApplication of Trigonometry

A ladder leaning against a vertical wall makes an angle of $24^{\circ}$ with the wall. Its foot is 5m from the wall. Its length is

NETNUST Entry TestMathematicsApplication of Trigonometry

A vertical pole is 8m high and the length of its shadow is 6m. The angle of elevation of that moment is

NETNUST Entry TestMathematicsApplication of Trigonometry

In right triangle ABC, if angle $\gamma=90^{\circ}$ a=8 and b=8 and angle $\alpha$=?

NETNUST Entry TestMathematicsApplication of Trigonometry

In right triangle ABC, if $\gamma=90^{\circ}$ b=68.4, c=96.2 then a=?

NETNUST Entry TestMathematicsApplication of Trigonometry

In right triangle ABC, if $\gamma=90^{\circ}$, a=5429, c=6294 then side b=?

NETNUST Entry TestMathematicsApplication of Trigonometry

The fourteenth term of $(3-a)^{15}$ is

NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem

The term independent of x in $(\frac{3}{2}x^{2}-\frac{1}{3x})^{9}$ is

NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem

The coefficient of $x^{18}$ in $(ax^{4}-bx)^{9}$ after expansion is

NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem

The fifth term of $(a+2x^{3})^{17}$ is

NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem

The term independent of x in the expansion of $(\sqrt{x^{8}}-\frac{2}{x})^{18}$ is

NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem

In the expansion of $[x^{-\frac{1}{6}}-y^{\frac{1}{3}}]^{9}$ the term independent of x is

NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem

The term independent of x in the expansion of $(x^{3}-\frac{3}{x^{2}})^{15}$ is

NETNUST Entry TestMathematicsMathematical Induction and Binomial Theorem