You are given the opposite: 16 km
You need to find x (adjacent)
The angle measure: 28 degrees
With opposite and adjacent, use tangent
Tan(28) = 0.5317094317
Tan(28) = 16/x
x = 16/0.5317094317
x = 30.0916
Round to nearest tenth
Solution: x = 30.1 km

5 0

3 years ago

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an isosceles triangle has angle measures of 55, 55, and 70. the side across the 70 degree angle is 10 inches long. how long are

Shtirlitz [24]

Answer:

The other sides of triangles are 8.72 in and 8.72 in

Step-by-step explanation:

In a triangle ABC. Please find the attachment for figure.

$\angle A=70^{\circ}$

$\angle B=\angle C=55^{\circ}$

Side BC=a = 10 in

Using sine law of trigonometry,

$\dfrac{a}{\sin A}=\dfrac{b}{\sin B}=\dfrac{c}{\sin C}$

Substitute the given value into formula.

$\dfrac{10}{\sin 70}=\dfrac{b}{\sin 55}=\dfrac{c}{\sin 55}$

$\dfrac{10}{\sin 70}=\dfrac{b}{\sin 55}$

Cross multiply and we get

$b=\sin 55\times \dfrac{10}{\sin 70}$

$b=8.72$ in

It is a isosceles triangle. Therefore, b=c=8.72 in

Hence, The other sides of triangles are 8.72 in and 8.72 in

7 0

3 years ago

2.8y + 6 +0.2 y =5y -14

serious [3.7K]

2.8y + 6 + 0.2y = 5y - 14
(Simplify like terms in first half of equation)
3y + 6 = 5y - 14
(Subtract both sides by 3y)
6 = 2y - 14
(Flip)
2y - 14 = 6
(Add both sides by 14)
2y = 20
(Divide both sides by 2)
y=10

3 0

3 years ago

Simplify the number using the imaginary unit i.

BARSIC [14]

Answer:

here

Step-by-step explanation:

5 0

2 years ago

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