Advertisements
Advertisements
Question
Find the angle made by a ladder of length 5m with the ground, if one of its end is 4m away from the wall and the other end is on the wall
Solution
AC is the length of the ladder.
In the right ΔABC,
cos θ = `"BC"/"AC"`
cos θ = `4/5`
= 0.8
cos θ = 0.8000
θ = 36°52′
Angle made by a ladder with the ground is 36°52′
APPEARS IN
RELATED QUESTIONS
In the following table, a ratio is given in each column. Find the remaining two ratios in the column and complete the table.
| sin θ | `11/61` | `1/2` | `3/5` | ||||||
| cos θ | `35/37` | `1/sqrt3` | |||||||
| tan θ | `1` | `21/20` | `8/15` | `1/(2sqrt2)` |
Find the value of the following:
tan 54° 26′
Find the value of the following:
cos 33° 53′
Find the value of θ if cos θ = 0.6763
Find the value of θ if tan θ = 0.0720
Find the value of θ if cos θ = 0.0410
Find the value of the following:
tan 70° 58′ + cos 15° 26′ – sin 84° 59′
Find the value of the following:
tan 70° 17′
Find the area of a right triangle whose hypotenuse is 10 cm and one of the acute angle is 24°24′
In the given figure, HT shows the height of a tree standing vertically. From a point P, the angle of elevation of the top of the tree (that is ∠P) measures 42° and the distance to the tree is 60 metres. Find the height of the tree
