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A helicopter travels from point C to point A to perform a medical supply drop. The helicopter then needs to land at point B. How many degrees should the helicopter turn at point A to travel towards point B? A right-angled triangle A B C, with an exterior angle. The right angle is formed at angle B and angle C is marked as 32 degrees. Angle B and angle C is a pair of opposite inferior angles to the exterior angle. The helicopter should turn

User Henry F
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2 Answers

7 votes

Answer:

32 degrees

Step-by-step explanation:

User Ubershmekel
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4 votes

Using the principle of geometry, after dropping the supply at point A, the helicopter will need to make a turn of 122° to travel towards point B.

From the triangle :

The angle at A ; which can be obtained as the sum of the interior angles in a triangle is defined as :

A + B + C = 180

A + 90 + 32 = 180

A = 180 - 122

A = 58°

The helicopter will have to turn around the straight line, forming a straight line angle with A ;

Hence,

Angle turned by helicopter + 58° = 180° (angle on a straight line)

Angle turned by helicopter = 180° - 58° = 122°

Hence, the angle turned by the helicopter to navigate to point B is 122°

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User Steavy
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