Mathematics: 33 the length of a side of a rhombus is 241m. the length of its height is 120m. find the measures of its angles.

Answers A. E. F. and G. are all included. I came up with the answer by multiplying 20×25= 500, then added 7. Hope this helps....

33 the length of a side of a rhombus is 241m. the - id332413331800, devinmoore8686

caguil00

07.01.2022

Two opposite rhombus's angles have the measure of approximately 30° and two another angles have the measure of approximately 150°.

Step-by-step explanation:

Find the area of the rhombus in two different ways.

1. Use formula

A=ah,

where a is a side length and h is a height of the rhombus.

Hence,

$A=241\cdot 120\ m^2$

2. Use formula

$A=a^2\sin \alpha,$

where $\alpha$ is one of rhombus's angles.

So,

$A=241^2\sin \alpha\ m^2$

3. Equate both expressions:

$241\cdot 120=241^2\sin \alpha\\ \\\sin \alpha =\dfrac{120}{241}\\ \\\alpha \approx 30^{\circ}$

Therefore, two opposite rhombus's angles have the measure of approximately 30° and two another angles have the measure of approximately 150°.

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