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Alexeev081 [22]
3 years ago
9

The diagram shows a parallelogram. Work out the area of the parallelogram. Give your answer to 2 significant figures.

Mathematics
1 answer:
maria [59]3 years ago
8 0

Answer:

28 cm²

Step-by-step explanation:

Given:

Parallelogram with 2 given sides, 4cm and 7cm respectively, and angle between them = 100°

Required:

Area of the parallelogram to 2 significant figure.

Solution:

Area of the parallelogram = a*b*sin(θ)

a = 4cm

b = 7 cm

θ = 100°

Area of parallelogram = 4*7*sin(100)

Area = 28*0.9848

Area = 27.57

Area of parallelogram to 2 significant figure = 28 cm²

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\boxed{\frac{25}{2}(\sqrt{6}+\sqrt{2})+65}

<h2>Explanation:</h2>

<em>The height of the rider from the ground after the Ferris wheel</em> equals <em>the starting point is 15 feet off the ground </em><em>plus </em><em>the radius of the Ferris wheel </em><em>plus </em><em>the opposite side of the triangle ΔABC </em>(See figure below).<em> </em>Hence our goal is to find this side. We have the angle 11\pi /2=165^{\circ}, therefore the angle ∠BAC = 165° - 90° = 75°. So this side can be found using trigonometry:

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