Question

- Ques! The cumbered scuyaue auea og
og height
88.cm? nd the
diameter
a
is
might ciuculau
of the base
oy cyuindeve. (assumer
yind
og
=
=2217)​

Answer 1

Answer:

Height and Distance

A boy standing at a distance of 100m finds the angle of elevation to a chimney at a certain height as 450. Find the height of the chimney.

Here,

Let AC be the height of chimney and Ë‚B be the point of observation.

Then,

<B = 450

BC = 100m

AC = ?

Now,

Tan 450 = (AC/BC) // Tan θ = perpendicular / base

Or, 1 = (AC/100)

Or, 100 * 1 = AC

Or, AC = 100m

Hence, the height of the chimney is 100m.

A plane flies by an observer 5km away. If the angle of elevation is 300, what is the vertical distance of the plane from the ground?

Here,

Let AC be the height of plane and <B be the point of observation.

Then,

<B = 300

BC = 5km

AC =?

Now,

Tan 300 = (AC/BC) // Tan θ = perpendicular / base

Or, 1/√3 = (AC/5)

Or, 5/√3 = AC

Or, AC = 2.5 km

Hence, the vertical distance of the plane from the ground is 2.5 km.

A ladder 6m is leaning against a wall and it makes an angle of elevation 300. Find the height of the ladder from the ground and distance between the point of observation and the foot of the wall.

Here,

Then,

<B = 300

BA = 6m

AC=?

Now,

Sin 300 = (AC/AB) // Sin θ = perpendicular / Hypotenuse

Or, ½ = (AC/6)

Or, AC = 6/2

Or, AC = 3 m

Hence, the height of the ladder from the ground is 3m.

Now,

BC2 = AB2 – AC2 // b2 = h2 – p2 Pythagorean Theorem

Or, BC2 = 62 - 32

Or, BC2 = 36 – 9

Or, BC2 = 27

Or, BC = √27

Or, BC = 3√3 m

Hence, the required distance is 3√3 m

Answer 2

Ques! The cumbered scuyaue auea og

og height

88.cm? nd the

diameter

a

is

might ciuculau

of the base

oy cyuindeve. (assumer

yind

og

=

=2217)