Question

From the top of a 7m high building the angle of elevation of the top of a cable tower is 60°and the angle of depression of its foot is 45°determine the height of the tower

Answer 1

Answer:

Step-by-step explanation: pls mark me as brainliest

Answer 2

$\large\tt\red{In\:∆EAB,}$

$\longrightarrow$$\large\tt\purple{tan\:45°=\frac{AE}{AB}}$

$\longrightarrow$$\large\tt\purple{1=\frac{7}{AB}}$

$\longrightarrow$$\large\tt\purple{AB=7m}$

$\large\tt\red{In\:∆DCE,}$

$\longrightarrow$$\large\tt\purple{tan\:60°=\frac{DC}{EC}}$

$\longrightarrow$$\large\tt\purple{√3=\frac{h}{7}}$

$\longrightarrow$$\large\tt\purple{h=7√3}$

$\large\tt\orange{Total\:height\:of\:tower}$

$\longrightarrow$$\large\tt\orange{DB=DC+CD}$

$\longrightarrow$$\large\tt\orange{7+7√3}$

$\longrightarrow$$\large\tt\orange{7(1+√3)m}$