Questions & Answers

Question

Answers

A) \[{\text{15m}}\]

B) \[{\text{16m}}\]

C) \[{\text{17m}}\]

D) \[{\text{18m}}\]

Answer
Verified

So, using the above information first we draw the following diagram

As we know \[{{tan\theta = }}\dfrac{{{\text{opposite side}}}}{{{\text{adjacent side}}}}\]

So, form the figure

We have,

\[{\text{tan6}}{{\text{0}}^{\text{o}}}{\text{ = }}\dfrac{{\text{h}}}{{{\text{10}}}}\]

As we know \[{\text{tan6}}{{\text{0}}^{\text{o}}}{\text{ = }}\sqrt {\text{3}} \], substitute this value in the above expression

\[ \Rightarrow \sqrt {\text{3}} {\text{ = }}\dfrac{{\text{h}}}{{{\text{10}}}}\]

\[ \Rightarrow {\text{h = 10} \times }\sqrt {\text{3}} \]

As we know \[\sqrt 3 = 1.732\], substituting this value, we get,

\[ \Rightarrow {\text{h} = 10}\times{1.732}\]

\[ \Rightarrow {\text{h = 17}}{\text{.32}}\]

\[ \Rightarrow {\text{h}} \approx {\text{17}}\]m

Thus, the height of the flagstaff correct to the nearest meter is \[{\text{17m}}\].

We use the concept of trigonometry to solve this problem. In practical day to day life, we use these concepts of the angle of elevation and trigonometry to find the height of buildings, towers etc.