Complete Question
A 12.5-m fire truck ladder is leaning against a wall. Find the distance d the ladder goes up the wall (above the fire truck) if the ladder makes an angle of
40° 16' with the horizontal.
Answer:
![d=8.01m](https://img.qammunity.org/2022/formulas/physics/college/2tg1r2ne490mygeb9xq4yhg9eplbet3ap9.png)
Step-by-step explanation:
From the question we are told that:
Length of ladder
![l=12.5m](https://img.qammunity.org/2022/formulas/physics/college/3lc027foiau5v1sxiawws8kg8stphdnq7t.png)
Angle
![\theta=40° 16'=20.26 \textdegree](https://img.qammunity.org/2022/formulas/physics/college/q4pc257ajoq97hnly3jhi50nciv8gixr82.png)
Generally the Trigonometric equation for distance d it goes up the wall is mathematically given by
![d=l sin \theta](https://img.qammunity.org/2022/formulas/physics/college/1bpj1rlaotn6v4fo4bapssacn0i17zjiwn.png)
![d=12.5 sin 40.26](https://img.qammunity.org/2022/formulas/physics/college/fjyvpibf0mnc5c98gy564p9u3qfk5rkbld.png)
![d=8.01m](https://img.qammunity.org/2022/formulas/physics/college/2tg1r2ne490mygeb9xq4yhg9eplbet3ap9.png)