![memester74](/avatars/21829.jpg)
memester74
11.10.2019 •
Mathematics
Abuilding makes a 90° angle with the ground. a ladder leans against the building, making a 110° exterior angle with the ground. what are the measures of the two interior angles?
Solved
Show answers
More tips
- T Travel and tourism How to Use a Compass: A Beginner s Guide...
- C Computers and Internet Porn Banner: What It Is and How to Get Rid Of It?...
- F Food and Cooking How many stages of coffee roasting are there?...
- F Food and Cooking From Latte to Espresso: Which Coffee Drink is the Most Popular on Earth?...
- F Food and Cooking Experts Name Top 5 Healthiest Teas...
- C Computers and Internet Google Search Tips and Tricks: Everything You Need to Know...
- H Health and Medicine Discover the Hidden Principles and Real Results of the Japanese Diet...
- H Health and Medicine Liver Cleansing - Rejuvenation for the Body?...
- S Style and Beauty Is Photoepilation the Solution to Unwanted Hair Forever?...
- S Style and Beauty Unbelievable Hairstyles for Long Hair - 2021 Trends...
Answers on questions: Mathematics
- M Mathematics The volume of a triangular pyramid is 232 cubic units. The area of the base of the pyramid is 29 square units. What is the height of the pyramid?...
- M Mathematics What the estimate of 4 7/8 divided by 1/5...
- M Mathematics Which number sentence is true? A. |10| 1.0 B. |0| = 0 C. |-47| |-30| D. |-100| |0| PLEASE HURRR...
- M Mathematics A building casts a shadow that is 18 ft long. A woman standing near the building is 5.75 ft tall and 4 feet long. What is the height of the building in feet?...
- M Mathematics 10(23+7)=100ℓ+100ℓ10, left parenthesis, 23, plus, 7, right parenthesis, equals, 100, ell, plus, 100, ell What is the value of ℓ ℓell in the equation above?...
- M Mathematics 11. The total number of months m that it takes to produce p tennis rackets (in thousands) is given by the formula m = a. Find the inverse of the function. b. How many tennis rackets...
- M Mathematics Isabelle and her friend Tisha are knitting scarves for the homeless. Isabelle had already completed 7 scarves and has committed to making 1 more scarf per day. Tisha, who hasn...
- M Mathematics I NEED THIS NOW Consider the following pair of equations: y = 3x + 3 y = x − 1 Explain how you will solve the pair of equations by substitution. Show all the steps and write the...
- M Mathematics The point (2,-4) is on the line given by which equation below?...
- M Mathematics find the average rate of change of the function y=f(x)=1/(x-1)^2-8 with respect to x on the interval -2≤x≤0. Repeat for y=g(x)=1/(x-1)^2+5. Note that the graph of g(x) is vertically...
Ответ:
A building makes a
angle with the ground .The two interior angles are
and ![20^{\circ}](/tpl/images/0309/6049/d036c.png)
Solution:
Given, a ladder which is against the building wall makes an exterior angle of![110^{\circ}](/tpl/images/0309/6049/96dc3.png)
And building makes a
angle with the ground.
So, altogether it makes a right angle triangle with ladder as hypotenuse and ground as base leg and building as another leg.
Now, we know that, sum of exterior angles and interior angles equals to![180^{\circ}](/tpl/images/0309/6049/4245f.png)
Here, in the case of ground and ladder, exterior angle is
and interior angle is unknown.
Exterior angle + interior angle = 180
110 + interior angle = 180
Interior angle = 180 – 110
Interior angle =![70^{\circ}](/tpl/images/0309/6049/e43e7.png)
We have found one of the two interior angles of right angle triangle.
We know that, sum of angles in a triangle is 180 degree
Known Interior angle + unknown interior angle + right angle = 180
70 + unknown interior angle + 90 = 180
Unknown interior angle + 160 = 180
Unknown interior angle = 180 - 160
Unknown interior angle =![20^{\circ}](/tpl/images/0309/6049/d036c.png)
Hence the two interior angles are
and ![20^{\circ}](/tpl/images/0309/6049/d036c.png)
Ответ:
answer:
step-by-step explanation: