As a navigator of this ship, you must consider the measure of the arc. Using the distance between the two lighthouses and the arc measurement, you can find the radius and center of the circle to set a reasonable distance in keeping the ship in safe waters.

5 0

4 years ago

1) Find the value for a that makes sin a = cos 25 true A ) 35 B) 65 D ) 155

svet-max [94.6K]

Answer:

Step-by-step explanation:

Using the cofunction identity

sin(90 - x)° = cosx°

Here x = 25° , then

cos25° = sin(90 - 25)° = sin65°

6 0

2 years ago

Problem is attached, need to use sin and cosine formulas

Tatiana [17]

In triangle 1, the values are α = 65°, a = 42.02, and 45.66. And in triangle 2, the values are β = 55.74, γ = 84.26, and c = 10.84.

<h3>What is the law of sines?</h3>

For any triangle ABC, with side measures |BC| = a. |AC| = b. |AB| = c,

we have, by law of sines,

$\dfrac{\sin \alpha }{a} = \dfrac{\sin \beta }{b} = \dfrac{\sin \gamma}{c}$

1. β = 15°, γ = 100°, and b = 12, then the missing side and angle will be

The sum is 180° of a triangle. Then the value of α will be 65°.

$\dfrac{\sin 65^o}{a} = \dfrac{\sin 15^o}{12} = \dfrac{\sin 100^o}{c}$

Then the value of a will be

a = 42.02

Then the value of c will be

c = 45.66

2. α = 40°, a = 7, and b = 9, then the missing side and angle will be

(sin 40°)/7 = (sin β) / 9

sin β = 0.82644

β = 55.74

The sum is 180° of a triangle. Then the value of γ will be 84.26°.

Then the value of c will be

c = 10.84

Learn more about the law of sines here:

brainly.com/question/17289163

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7 0

2 years ago

The figure shows how a leaf meets the stem of a flower to form two angles.<br><br> basically find x

DochEvi [55]

Answer:

-72

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers