Please help quickly I only have 5 mins!!!

Set up a right triangle model for this problem and solve by using a calculator. Follow the models above,

irakobra [83]

Question:

Set up a right triangle model for this problem and solve by using a calculator. Follow the models above,

A photographer stands 60 yards from the base of a lighthouse and observes that the angle between the ground and the top of the lighthouse is 41° How tall is the lighthouse?

Answer:

The height of lighthouse is 52.2 yards

Solution:

Given that photographer stands 60 yards from the base of a lighthouse and observes that the angle between the ground and the top of the lighthouse is 41 degree

The diagram is attached below

Consider a right angled triangle ABC

AB is the height of the lighthouse

BC is the distance between the base of a lighthouse and Photographer

As per given, BC = 60 yards

Angle between the ground and the top of the lighthouse is 41 degree

Angle ACB = 41 degree

To find: height of lighthouse i.e AB = ?

We know that,

$tan(\angle ACB) = \frac{Perpendicular}{Base}$

Here Base is BC and perpendicular is AB

$\tan 41^{\circ}=\frac{A B}{B C}$

Substituting the values,

$\begin{aligned}&\tan 41^{\circ}=\frac{A B}{60}\\\\&0.8692=\frac{A B}{60}\\\\&A B=0.8692 \times 60=52.157 \approx 52.2\end{aligned}$

Thus the height of lighthouse is 52.2 yards

8 0

3 years ago

7^x=3^[x+4] solve x using logarithmic

Andrei [34K]

By taking advantage of the definition of exponential and logarithmic function and their inherent relationship we conclude that the solution is x = 4 · ㏒ 3/(㏒ 7 - ㏒ 3).

<h3>How to solve an exponential equation by logarithms</h3>

Exponential and logarithmic functions are trascendental functions, these are, functions that cannot be described algebraically. In addition, logarithmic functions are the inverse form of exponential functions. In this question we take advantage of this fact to solve a given expression:

7ˣ = 3ˣ⁺⁴ Given
㏒ 7ˣ = ㏒ 3ˣ⁺⁴ Definition of logarithm
x · ㏒ 7 = (x + 4) · ㏒ 3 ㏒ aᵇ = b · ㏒ a
x · ㏒ 7 = x · ㏒ 3 + 4 · ㏒ 3 Distributive property
x · (㏒ 7 - ㏒ 3) = 4 · ㏒ 3 Existence of additive inverse/Modulative and associative properties
x = 4 · ㏒ 3/(㏒ 7 - ㏒ 3) Existence of multiplicative inverse/Modulative property/Result

By taking advantage of the definition of exponential and logarithmic function and their inherent relationship we conclude that the solution is x = 4 · ㏒ 3/(㏒ 7 - ㏒ 3).

To learn more on logarithms: brainly.com/question/20785664

#SPJ1

4 0

1 year ago

The graph shows the relationship between the number of correct answers given by Mini and the number of marks she scored. How man

Alborosie

Answer:

18

Step-by-step explanation:

8 0

3 years ago

Please help i need an A

Basile [38]

Answer:

(1) 820

(2) 1920

Step-by-step explanation:

(1) solving 20 x 41, using associative property.

20 * 41 = (2 x 10) x 41 = 2 x (10 x 41)

= 20 x 41 = 2 x 410

= 820 = 820

(2) distribute 32 as 30 + 2 and solve.

60 x 32

= 60 x (30 + 2) = 60(30) + 60(2)

= 1800 + 120

= 1920

3 0

3 years ago

The sum of 4 times a number and 7 more than the number is 80

marusya05 [52]

Answer:

(4×x) 7> 80 :)

Step-by-step explanation:

4 0

2 years ago