Triangles And Properties Of Triangle Question 20
Question: The angle of elevation of the top a tower from two places situated at distances 21m. And x m. from the base of the tower are $ 45{}^\circ $ and $ 60{}^\circ $ respectively. What is the value of x?
Options:
A) $ 7\sqrt{3} $
B) $ 7-\sqrt{3} $
C) $ 7+\sqrt{3} $
D) 14
Show Answer
Answer:
Correct Answer: A
Solution:
[a] In $ \Delta ADB,,\tan 45{}^\circ =\frac{AD}{BD}=\frac{AD}{21} $ $ AD=21,m $ In $ \Delta ADC,,\tan ,60{}^\circ =\frac{AD}{x} $ $ x=\frac{21}{\sqrt{3}}=7\sqrt{3},m $
BETA
