The figure shows a triangular plate ABC with AB=7m, BC=6m and AC=9m. The plate is placed with one side AB on the horizontal and C is h m above the ground. The angles of elevation of C from A and B are α and β respectively. The plate casts a shadow ABD inder the sum.
(a) Using Heron's formula, find the area of the plate. [21.0m2]
(b) Show that sinβ=(3/2)sinα.
(c) If α=15, find the values of β and h.
(d) Find the area of the shadow of the plate.

Question

The figure shows a triangular plate ABC with AB=7m, BC=6m and AC=9m. The plate is placed with one side AB on the horizontal and C is h m above the ground. The angles of elevation of C from A and B are α and β respectively. The plate casts a shadow ABD inder the sum.
(a) Using Heron's formula, find the area of the plate. [21.0m2]
>>>(b) Show that sinβ=(3/2)sinα.
>>>(c) If α=15, find the values of β and h.
>>>(d) Find the area of the shadow of the plate.

anonymous · Answer

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