All categories

2 years ago

Pls solve part b) iii thanks

Mathematics

1 answer:

Viktor [21]2 years ago

4 0

The bearing of the tree from Q is 296.565°

<h3>How to determine the height of the tree?</h3>

The figure that illustrates the bearing and the distance is added as an attachment

The given parameters are:

Base of the tree, b = 50 meters

Angle (x) = 32 degrees

Calculate the height (h) of the tree using:

tan(x) = height/base

So, we have:

tan(32°) = h/50

Make h the subject

h= 50 × tan(32°)

Evaluate

h = 31.24

Hence, the height of the tree is 31.24 meters

<h3>How to determine the distance between Q and the base of the tree?</h3>

The distance (d) between Q and the base of the tree

This is calculated using the following Pythagoras theorem

d = √(100² + 50²)

Evaluate

d = 111.80

Hence, the distance between Q and the base of the tree is 111.80 meters

<h3>How to determine the angle of elevation?</h3>

The angle of elevation (x) using the following tangent trigonometric ratio

tan(x) = h/d

This gives

tan(x) = 31.24/111.80

Evaluate the quotient

tan(x) = 0.2794

Take the arc tan of both sides

x = 15.61

<h3>The bearing of the tree from Q </h3>

This is calculated using:

Angle of bearing = 270 + arctan(50/100)

Evaluate the arc tan

Angle of bearing = 270 + 26.565

Evaluate the sum

Angle of bearing = 296.565

Hence, the bearing of the tree from Q is 296.565 degrees

You might be interested in

You are the coach of a basketball team. So far this season, you have collected the following statistics showing how many points

krok68 [10]

<span>You are given the following statistics showing how many points each player scores on average and how many points the team scores in a game when the player is not playing.

Player A PPG: 25 Team Points
when the player is absent: 100
Player B PPG: 24 Team Points
when the player is absent: 80
Player C PPG: 20 Team Points
when the player is absent: 84
Player D PPG: 19 Team Points
when the player is absent: 87
Player E PPG: 13 Team Points
when the player is absent: 50
Player F PPG: 5 Team Points
when the player is absent: 99
Player G PPG: 5 Team Points
when the player is absent: 90

(1) The player that is most helpful to the team is Player A. When player A is playing,he can garner 25 points and when he is not around, the team loses 100 points.
(2) The player that is the most altruistic (helpful to others) is Player E. Even if he can just gain 13 points when playing, when he is not around, their lost is just 50 points.
(3) The order from increasing to the least is player A, B, D, C, E, G, F.</span>

3 0

3 years ago

Read 2 more answers

Does 1+1=fish??????????

Ahat [919]

No 1+1 does not equal fish.....I thought so too until I looked it up

5 0

3 years ago

The value of 2 in 2783 is what compared to the

kykrilka [37]

We Know That This Number Is:

Two-Thousand-Seven-Hundred-Eighty-Three.

So, This tells Us That The 2 Is The Thousandths Place.

So, We Also Know That The Value Of 2 In The 2nd One Is 200. This Means That The value of the first one is 10 times larger than the value of the 2 in the second one!

3 0

3 years ago

G use part 1 of the fundamental theorem of calculus to find the derivative of the function. sqrt(4+7t)

uysha [10]

Let y = √4+7t
then u= 4+7t
y=√u = u^½

du/dt= 7
dy/du = ½U^-½

dy/dt = du/dt • dy/du
= 7×½U^-½
= 7/2√U
= 7 / (2{√4+7t})

6 0

3 years ago

Help me 1-6 with an explanation for a brainliest.

xxTIMURxx [149]

Answer:

Step-by-step explanation:

1. 5

2. -9

3. -4

4. 4 > .25

5. 0.142 < 7

6. -8 = -8

8 0

2 years ago