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ivolga24 [154]
2 years ago
9

A boat captain can see a lighthouse on the shore which is 103ft in front of him. If the lighthouse is 22ft tall, at what angle o

f elevation can the captain see the top of the lighthouse? options: 45° 12° 77° 11°
Mathematics
1 answer:
elena-14-01-66 [18.8K]2 years ago
5 0

Answer:

  • 21°

Step-by-step explanation:

A boat captain, lighthouse and its base form a right triangle.

<u>We need to find the angle opposite to 22 ft side:</u>

  • tan x = 22/103
  • x = arctan (22/103)
  • x = 21°

<em>Note, option D should read 21° not 11°</em>

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rodikova [14]

Answer:

(a) (a · b) · c  has Meaningless because it is the dot product of two scalars.

(b) (a · b)c  has  Meaningful because it is a scalar multiple of a scalar and a vector .

(c) |a|(b · c) has Meaningful because it is the product of two scalars .

(d) a · (b + c) has Meaningful because it is the dot product of two vectors .

(e) a · b + c has Meaningless because it is the sum of a scalar and a vector.

(f) |a| · (b + c)  has Meaningless because it is the dot product of a scalar and a vector .

4 0
2 years ago
In triangle ABC, points N and M lie on sides AB and AC, respectively.Given AM = AN = BM = NC = BC, find m∠BAC.
Reil [10]

Answer:

  36°

Step-by-step explanation:

Please refer to the attached figure.

Triangles ANC, AMB, BCN, CBM are all isosceles by virtue of the given congruences. By symmetry, we also claim that ΔABC is isosceles (AB≅AC).

We aren't sure how their internal angles relate, but we can write a couple of equations.

Let x = m∠BAC, y = m∠BCN.

∠NCA = ∠NAC  = ∠MBA = ∠MAB = x

∠BCM = ∠BMC = x +y

∠BMC = ∠MBA +∠MAB = 2x

So, we have ...

  ∠BMC = x +y = 2x   ⇒    y = x

And the sum of angles around ΔABC is ...

  x +(2x) +(2x) = 180°

  x = 180°/5 = 36°

The measure of angle BAC is 36°.

7 0
3 years ago
Please help me its a math problem thank you i give brainlist
inna [77]

Answer:

1.875

Step-by-step explanation:

the average rate of change of g(x) in the closed interval [ a, b ] is

\frac{g(b)-g(a)}{b-a}

here [a, b ] = [- 1, 3 ] , then

g(b) = g(3) = 2³ + 1 = 8 + 1 = 9

g(a) = g(- 1) = 2^{-1} + 1 = \frac{1}{2} + 1 = 1.5

then

average rate of change = \frac{9-1.5}{3-(-1)} = \frac{7.5}{4} = 1.875

8 0
2 years ago
Read 2 more answers
Variables x and y are in direct proportion, and y = 48n when x = 16n. Which value of k correctly relates x and y in the equation
ella [17]
You want k.
k=y/x=48n/16n=3
3 0
3 years ago
SOLVE THIS PROBLEM ASAP
zepelin [54]

Answer:

5

Step-by-step explanation:

Use the exponent rule

Simplifying the top of the fraction

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Simplifying the bottom of the fraction 5^4*5=5^4+1=5^5

Our simplified fraction is 5^6/5^5, which is just 5^6-5 which is 5^1 or 5.

Therefore, the answer is 5.

4 0
2 years ago
Read 2 more answers
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