What is the height of roof i.e., DE?

STUDY MATERIALS
COURSES
MORE
SUCCESS STORY
ADMISSION
STORE

Back

JEE ADVANCE

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

JEE MAIN

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

NEET

CLASS XI - XII
CRASH COURSE

CLASS XI - XII

CRASH COURSE

BITSAT

CLASS XI - XII

CLASS XI - XII

CBSE BOARD

CLASS IX

CLASS X

CLASS XI

CLASS XII

CLASS VI

CLASS VII

CLASS VIII

UP BOARD

CLASS IX
CLASS X
CLASS XI
CLASS XII

CLASS IX

CLASS X

CLASS XI

CLASS XII

CUET

CRASH COURSE

CRASH COURSE

Courses

CLASSROOM COURSES
ONLINE COURSES

ONLINE COURSES

More

Solution

Q.
Riya and her sister visited their friend’s farmhouse. Upon arrival, Riya noticed that the roof of her friend’s house was shaped like a trapezium, with the dimensions indicated in the figure.

On the basis of above information, answer the following questions:

(i) What is the height of roof i.e., DE

1 1 m

2 5 m

3 3 m

4 2 m

Ans.
(3)

$G i v e n, A B C D i s t r a p e z i u m w i t h A B ∥ C D . C D = 8 m, ∠ D A E = 30 ° a n d A D = B C = 6 m W e h a v e t o f i n d t h e h e i g h t o f r o o f i . e ., h e i g h t o f t r a p e z i u m (D E o r C F) . I n △ A E D, r i g h t a n g l e d a t E, w e h a v e i n ∠ D A E = \frac{D E}{A D} \Rightarrow s i n 30 ° = \frac{D E}{6} [∵ ∠ D A E = 30 ° and A D = 6 m] \Rightarrow \frac{1}{2} = \frac{D E}{6} \Rightarrow D E = 3 m Hence, height of roof is 3 m .$

Want Us to Email you About Special Offers & Updates?