You visited us 1 times! Enjoying our articles? Unlock Full Access!

Proportions

There are thr...

Question

There are three trees $T_{1}$ , $T_{2}$ and $T_{3}$ in a row. The ratio of height of $T_{1}$ to $T_{2}$ is same as the ratio of height of $T_{2}$ to $T_{3}$ . Given, the height of $T_{1}$ is 10 m and the height of $T_{3}$ is 40 m. What is the height of tree $T_{2}$ ?

15 m

No worries! We‘ve got your back. Try BYJU‘S free classes today!

20 m

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

25 m

No worries! We‘ve got your back. Try BYJU‘S free classes today!

30 m

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is B 20 m
Let, the heights of $T_{1}$ , $T_{2}$ and $T_{3}$ be
$t_{1}$ m, $t_{2}$ m and $t_{3}$ m respectively.

Given,
$\frac{t_{1}}{t_{2}} = \frac{t_{2}}{t_{3}} \frac{10}{t_{2}} = \frac{t_{2}}{40}$

Cross multiplying,
$\Rightarrow t_{2} \times t_{2} = 10 \times 40$ = 400
$\Rightarrow t_{2} \times t_{2} = 20 \times 20$
$\Rightarrow t_{2}$ = 20 m

Suggest Corrections

Similar questions

Q. There are three trees

T_{1}

T_{2}

and

T_{3}

in a row. The ratio of height of

T_{1}

to that of

T_{2}

is same as the ratio of height of

T_{2}

to that of

T_{3}

. Given, the height of

T_{1}

10

m and the height of

T_{3}

40

m. What is the height of tree

T_{2}

Q. The plots of intensity versus wavelength for three black bodies at temperatures

T_{1}, T_{2} a n d T_{3}

respectively are as shown. Their temperature are such that

Chose the correct option where

T_{1}, T_{2} a n d T_{3}

are three different temperatures in case of a liquid.

The plots of intensity versus wavelength of three black bodies at temperatures $T_{1}, T_{2} a n d T_{3}$ respectively are shown in figure. Their temperatures are such that

I, II and III are three isotherms respectively at $T_{1}$ , $T_{2}$ and $T_{3}$ temperatures. The order of temperature will be

Join BYJU'S Learning Program

There are three trees T1, T2 and T3 in a row. The ratio of height of T1 to T2 is same as the ratio of height of T2 to T3. Given, the height of T1 is 10 m and the height of T3 is 40 m. What is the height of tree T2?

The correct option is B 20 mLet, the heights of T1, T2 and T3 be t1 m, t2 m and t3 m respectively. Given, t1t2=t2t310t2=t240 Cross multiplying, ⇒t2× t2=10× 40 = 400 ⇒t2× t2=20× 20 ⇒t2 = 20 m

There are three trees $T_{1}$ , $T_{2}$ and $T_{3}$ in a row. The ratio of height of $T_{1}$ to $T_{2}$ is same as the ratio of height of $T_{2}$ to $T_{3}$ . Given, the height of $T_{1}$ is 10 m and the height of $T_{3}$ is 40 m. What is the height of tree $T_{2}$ ?