A plane is flying parallel to the ground along ‾
→AC .
When the plane is at A, an air-traffic controller in
tower T measures the angle to the plane as 40°. After
the plane has traveled 2.4 miles to B, the angle to the
plane is 80°. How can you find BT?

The plane is flying parallel to the ground. Therefore, the angle T is an alternate angle to angle A. Recall alternate angles are equal. Therefore,

∠A = 40 (alternate angles)

The base angles of the triangle are equal. This makes the triangle an isosceles triangle. The opposite sides of an isosceles triangles are also equal. Therefore,

BA = BT

BA = 2.4 miles

BT = 2.4 miles

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A plane is flying parallel to the ground along ‾ →AC . When the plane is at A, an air-traffic controller in tower T measures the angle to the plane as 40°. After the plane has traveled 2.4 miles to B, the angle to the plane is 80°. How can you find BT?

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A plane is flying parallel to the ground along ‾
→AC .
When the plane is at A, an air-traffic controller in
tower T measures the angle to the plane as 40°. After
the plane has traveled 2.4 miles to B, the angle to the
plane is 80°. How can you find BT?