Answer:
75.7°
Step-by-step explanation:
The mnemonic SOH CAH TOA is intended to remind you of the relations between trig functions and sides of a right triangle. You are given all three sides of the triangle, so you can make use of at least two different trig functions to find the missing angle.
Cos = Adjacent/Hypotenuse
Tan = Opposite/Adjacent
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<h3>cosine</h3>
The hypotenuse is 65, and the side adjacent to the unknown angle is 16. That tells you ...
cos(?) = 16/65
The inverse function is used to find the angle value:
? = arccos(16/65) ≈ 75.7°
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<h3>tangent</h3>
The side opposite the angle of interest is 63. Then you have ...
tan(?) = 63/16
The inverse function is used to find the angle value:
? = arctan(63/16) ≈ 75.7°
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<em>Additional comments</em>
When using trig functions on a calculator, you need to make sure the angle mode is set to what you want. Here, we want angles in degrees, so we have set that as the angle mode. The [DEG] icon in the lower left corner of the display confirms this.
We can't tell what you're supposed to round the value to. The attachment gives enough digits for you to be able to round to whatever precision you need.
Answer:
She is not correct because ∠1 is an alternate exterior angle with ∠3, not the angle that measures 105°. So m∠1 = 75°.
Step-by-step explanation:
you answer is 5/8 please mark as brainliest if you need more help with questions like this lemme know
Answer: Mako shark
Step-by-step explanation:
We will calculate the speed of the sharks to know which is faster.
A mako shark can swim 4 kilometers in 1/10 hour.
Speed = Distance/Time
= 4/(1/10)
= 40km/hour
A blue whale can swim 5 kilometers in 1/4 an hour.
This shows that the Mako shark is faster as it swims at rate of 40km/hour and the blue whale swims at 5km/hour. It's faster by 35km.
= 40km - 5km
= 35km