Set up a right triangle model for this problem and solve by using the reference table trigonometric ratio that applies. Follow t
2 answers:
Answer: B. 52.2 yards
Lighthouse is 52.2 yards tall.
Step-by-step explanation:
Let AB denotes the height of the lighthouse & BC denotes the distance between the base of a lighthouse and Photographer.
In Figure, ∠ACB = 41° & ∠ABC = 90°, Threrefore, Base is BC and perpendicular is AB.
As we know, tan(∠ACB) =
∴ tan 41° =
tan 41° =
0.869286737 =
AB = 52.2 yards ( approx.)
Thus, Height of the lighthouse is 52.2 yards
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Answer:
Given Polynomial:
Factors of Coefficient of terms
80 = 5 × 16
32 = 2 × 16
48 = 3 × 16
Common factor of the coefficient of all term is 16.
Each term contain variable. So the Minimum power of b is common from all terms.
Common from all variable part comes b².
So, Common factor of the polynomial = 16b²
⇒ 16b² ( 5b² ) - 16b² ( 2c³ ) + 16b² ( 3b²c )
⇒ 16b² ( 5b² - 2c³ + 3b²c )
Therefore, Statements that are true about David's word are:
The GCF of the coefficients is correct.
The variable c is not common to all terms, so a power of c should not have been factored out.
In step 6, David applied the distributive property
Given:
second term = 18
fifth term = 144
The nth term of a geometric sequence is:
Hence, we have:
Divide the expression for the fifth term by the expression for the second term:
Substituting the value of r into any of the expression:
Hence, the explicit rule for the sequence is:
Answer:
About 110.6
Step-by-step explanation:
The sine of an angle is the length of the opposite side divided by the length of the hypotenuse.
Hope this helps!