Ahmad is driving on a road. He observed that the road is inclined at a

1.	Ahmad is driving on a road. He observed that the road is inclined at an angle of 6 degree .He travelled 1.5km on this inclined road. How high above road level is Ahmad??
Answer» Given: Ahmad is traveling on a road at an INCLINATION of $6^\circ$ . Distance traveled = 1.5 km To find: Height of Ahmad above road level = ? Solution: The given situation can be represented in the form of a right angled TRIANGLE $\triangle ABC$ as shown in the attached figure in answer area. The SIDE BC REPRESENTS the road level. The distance traveled by Ahmad is AC = 1.5 km $\angle C =6^\circ$ And the side AB is to be found. We can use trigonometric identity of Sine here to find AB. We KNOW that: $sin\theta =\dfrac{Perpendicular}{Hypotenuse}$ $sinC=\dfrac{AB}{AC}\\\Rightarrow sin6=\dfrac{AB}{1.5}\\\Rightarrow AB = 1.5 \times sin6\\\Rightarrow AB = 1.5 \times 0.1045\\\Rightarrow AB = 0.1568\ km \ or\ 156.8 \ m$ So, Ahmad is 0.1568 km or 156.8 m high above road level.

Ahmad is driving on a road. He observed that the road is inclined at an angle of 6 degree .He travelled 1.5km on this inclined road. How high above road level is Ahmad??

Answer»

Given:

Ahmad is traveling on a road at an INCLINATION of $6^\circ$ .

Distance traveled = 1.5 km

To find:

Height of Ahmad above road level = ?

Solution:

The given situation can be represented in the form of a right angled TRIANGLE $\triangle ABC$ as shown in the attached figure in answer area.

The SIDE BC REPRESENTS the road level.

The distance traveled by Ahmad is AC = 1.5 km

$\angle C =6^\circ$

And the side AB is to be found.

We can use trigonometric identity of Sine here to find AB.

We KNOW that:

$sin\theta =\dfrac{Perpendicular}{Hypotenuse}$

$sinC=\dfrac{AB}{AC}\\\Rightarrow sin6=\dfrac{AB}{1.5}\\\Rightarrow AB = 1.5 \times sin6\\\Rightarrow AB = 1.5 \times 0.1045\\\Rightarrow AB = 0.1568\ km \ or\ 156.8 \ m$

So, Ahmad is 0.1568 km or 156.8 m high above road level.

Ahmad is driving on a road. He observed that the road is inclined at an angle of 6 degree .He travelled 1.5km on this inclined road. How high above road level is Ahmad??

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