Answer:
Step-by-step explanation:
Because the line of sight from the top of the lighthouse is parallel to the water, the angle of depression (which is OUTSIDE the right triangle) is alternate interior with the angle of elevation, which is the base angle INSIDE the right triangle this creates. The base angle that is NOT the right angle, of course. Because these angles are alternate interior of a transversal cutting a pair of parallel lines, they are congruent. Therefore, we need to find the measure of the base angle using the 2 sides given. The height of the lighthouse is the height of the triangle and the distance the boat is from the base of the lighthouse is the side adjacent to the angle. We are looking at the tangent ratio which is side opposite/side adjacent. When you need to find a missing angle on your calculator, you willl use the 2nd button and then whichever trig identity you need. Because we need tangent, we will hit 2nd then tan and get this on our screen:
Inside that parenthesis, enter 300/720 and hit enter to get your angle. 2 things here: make sure you are in degrees in your calculator by hitting mode and checking that "degrees" is highlighted instead of radians, and secondly, you do not have to close the parenthesis to get the correct answer. Your angle measure should be 22.619 degrees, by the way.
Answer: # 4.) 9.4
#5.) 10.2 cm
#6.) 5 inches .
Step-by-step explanation: Assuming that a right triangle is expected, use the <u><em>Pythagorean Theorem</em></u> to calculate the third side: a² + b² = c²
Then take the square root of 89. A calculator is handy for most of these!
√89 = 9.433981 . Round to 9.4
√104 = 10.1980 Round to 10.2 <u>Remember to include the units, cm in the answer.</u>
<u>Memorize this one:</u>
<u>Given side lengths of 3 & 4, the hypotenuse is 5!</u>
3² + 4² = 5² Called a "Pythagorean Triple"
9 + 16 = 25
The square on the hypotenuse is a perfect square of 5
No calculator necessary, and you are likely to see this ratio in other questions.
Answer:
2 to 5
Step-by-step explanation:
Answer:
<h2>
X = -10</h2>
Step-by-step explanation:
Multiply each term in the parenthesis by 2
Move variable to L.H.S and change its sign
Move constant to R.H.S and change its sign
Calculate
Hope this helps...
Good luck on your assignment...
Answer:
Option B. For every 5 red pens, there are 15 blue pens.
Step-by-step explanation:
The statement expressed the ratio of the red pens to the total as 1 : 4.
This means that for every red pen in the box, there are 4 blue pens.
So, statement A is correct.
Let's skip B an look at other statements as well:
For C, the ratio will be 15 : 60 which translates to 1 : 4. So C is true.
Let's look at D.
This is an interesting one. The problem defines 18 as blue. So it means that 24 - 18 = 6
6 pens will be blue. Again 6 : 24 gives us 1 : 4. So D is true.
B gives us 5 : 24 which is not true.