Advertisements
Advertisements
Question
Find the length of EC.
Advertisements
Solution
CD = 28cm
⇒ AB = 28cm
In right ΔABE,
tan30° = `"BE"/"AB"`
⇒ `(1)/sqrt(3) = "BE"/(28)`
⇒ BE = `(28)/sqrt(3)`
In right ΔABC,
tan60° = `"CB"/"AB"`
⇒ `sqrt(3) = "CB"/(28)`
⇒ CB = `28sqrt(3)`
∴ Length of EC
= CB + BE
= `28sqrt(3) + (28)/sqrt(3)`
= `(84 + 28)/sqrt(3)`
= `(112)/sqrt(3)`.
APPEARS IN
RELATED QUESTIONS
Calculate the value of A, if (sin A - 1) (2 cos A - 1) = 0
If sin x + cos y = 1 and x = 30°, find the value of y
If 2 cos (A + B) = 2 sin (A - B) = 1;
find the values of A and B.
Solve the following equations for A, if `sqrt3` tan A = 1
Find the magnitude of angle A, if 2 cos2 A - 3 cos A + 1 = 0
Find the value of 'x' in each of the following:
Find:
a. BC
b. AD
c. AC
Find the value of 'y' if `sqrt(3)` = 1.723.
Given your answer correct to 2 decimal places.
The perimeter of a rhombus is 100 cm and obtuse angle of it is 120°. Find the lengths of its diagonals.
Express each of the following in terms of trigonometric ratios of angles between 0° and 45°: cosec64° + sec70°
