Question
From the figure , given below , calculate the lenth of CD .
✓
Answer
InΔ AED
$\frac{ AE }{ DE }=\tan 22^{\circ}$
⇒ AE = DE tan 22°= 15 x 0.404=6.06 m
InΔ ABC,
$\frac{ AB }{ BC }=\tan 47^{\circ}$
⇒ AB = BC tan 47° = 15 x 1.072= 16.09 m
∴ CD = BE = AB- AE= 10.03 m
Need a full question paper?
Generate a complete, print-ready paper with questions like this in minutes — across 16+ boards, with answer keys.
Explore more
Similar questions
A hollow sphere of internal and external radii $6\ cm$ and $8\ cm$ respectively is melted and recast into small cones of base radius $2\ cm$ and height $8\ cm.$ Find the number of cones.
→The coordinates of the end points of the diameter of a circle are (3, 1) and (7, 11). Find the coordinates of the centre of the circle.
In each of the following determine whether the given values are solutions of the equation or not.
$9 x^2-3 x-2=0 ; x=-\frac{1}{3}, x=\frac{2}{3}$
→$9 x^2-3 x-2=0 ; x=-\frac{1}{3}, x=\frac{2}{3}$
Prove.
$\frac{\cos \theta \cot \theta}{1+\sin \theta}=\operatorname{cosec} \theta-1$
→$\frac{\cos \theta \cot \theta}{1+\sin \theta}=\operatorname{cosec} \theta-1$
Divya invested Rs 50,000 in buying shares of Rs 125 each of 'Hitech Technologies'. She sold half of them when they were at a premium of 24% and the remaining half when they were at a discount of 20%. Find her gain or loss in the transaction.
How many cubic meters of earth must be dug out to make a well $28\ m$ deep and $2.8\ m$ in diameter? Also, find the cost of plastering its inner surface at $Rs.4.50$ per sq.meter.
→By selling a chair for $Rs.75,$ Mohan gained as much per cent as its cost. Calculate the cost of the chair.
→Puneet has a Recurring Deposit Account in the Bank of Baroda and deposits $Rs.140$ per month for $4$ years. If he gets $Rs.8,092$ on maturity, find the rate of interest given by the bank.
→In each of the following, determine whether the given values are solution of the given equation or not:
$a^2 x^2-3 a b x+2 b^2=0 ; x=\frac{a}{b}, x=\frac{b}{a}$.
→$a^2 x^2-3 a b x+2 b^2=0 ; x=\frac{a}{b}, x=\frac{b}{a}$.
Find the mean of the following distribution:
| Class interval | 0 - 10 | 10 - 20 | 20 - 30 | 30 - 40 | 40 - 50 |
| Frequency | 10 | 6 | 8 | 12 | 5 |